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678805920 = 25355131779
BaseRepresentation
bin101000011101011…
…100000110100000
31202022021220200000
4220131130012200
52342233242140
6151205100000
722551520002
oct5035340640
91668256600
10678805920
11319193a31
1216b3b7600
13aa82b610
146621c372
153e8d7a30
hex2875c1a0

678805920 has 576 divisors, whose sum is σ = 2773854720. Its totient is φ = 155271168.

The previous prime is 678805901. The next prime is 678805921. The reversal of 678805920 is 29508876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (678805921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592441 + ... + 8592519.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2678805920 is an apocalyptic number.

678805920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

678805920 is an abundant number, since it is smaller than the sum of its proper divisors (2095048800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

678805920 is a wasteful number, since it uses less digits than its factorization.

678805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 678805920 is about 26053.9041220313. The cubic root of 678805920 is about 878.8509106597.

The spelling of 678805920 in words is "six hundred seventy-eight million, eight hundred five thousand, nine hundred twenty".