78301080 has 320 divisors, whose sum is σ = 311018400. Its totient is φ = 17521920.

The previous prime is 78301079. The next prime is 78301129. The reversal of 78301080 is 8010387.

It is a super-2 number, since 2×78301080² = 12262118258332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6023154 + ... + 6023166.

Almost surely, 2^78301080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78301080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155509200).

78301080 is an abundant number, since it is smaller than the sum of its proper divisors (232717320).

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

78301080 is a wasteful number, since it uses less digits than its factorization.

78301080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 78301080 is about 8848.7897477565. The cubic root of 78301080 is about 427.8149110897.

The spelling of 78301080 in words is "seventy-eight million, three hundred one thousand, eighty".