83472076800 has 1248 divisors, whose sum is σ = 370521523200. Its totient is φ = 17995530240.

The previous prime is 83472076799. The next prime is 83472076823. The reversal of 83472076800 is 867027438.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367718287 + ... + 367718513.

Almost surely, 2^83472076800 is an apocalyptic number.

83472076800 is a gapful number since it is divisible by the number (80) 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 83472076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185260761600).

83472076800 is an abundant number, since it is smaller than the sum of its proper divisors (287049446400).

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

83472076800 is a wasteful number, since it uses less digits than its factorization.

83472076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 83472076800 in words is "eighty-three billion, four hundred seventy-two million, seventy-six thousand, eight hundred".