76904755200 has 1404 divisors, whose sum is σ = 347711291928. Its totient is φ = 16102195200.

The previous prime is 76904755177. The next prime is 76904755211. The reversal of 76904755200 is 255740967.

76904755200 is a `hidden beast` number, since 7 + 6 + 90 + 4 + 7 + 552 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 587059135 + ... + 587059265.

Almost surely, 2^76904755200 is an apocalyptic number.

76904755200 is a gapful number since it is divisible by the number (70) 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 76904755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173855645964).

76904755200 is an abundant number, since it is smaller than the sum of its proper divisors (270806536728).

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

76904755200 is a wasteful number, since it uses less digits than its factorization.

76904755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 76904755200 in words is "seventy-six billion, nine hundred four million, seven hundred fifty-five thousand, two hundred".