76926312495200 has 1728 divisors, whose sum is σ = 247525766587008. Its totient is φ = 23144221900800.

The previous prime is 76926312495187. The next prime is 76926312495209. The reversal of 76926312495200 is 259421362967.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76926312495209) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 228267989432 + ... + 228267989768.

It is an arithmetic number, because the mean of its divisors is an integer number (143244077886).

Almost surely, 2^{76926312495200} is an apocalyptic number.

76926312495200 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 76926312495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123762883293504).

76926312495200 is an abundant number, since it is smaller than the sum of its proper divisors (170599454091808).

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

76926312495200 is a wasteful number, since it uses less digits than its factorization.

76926312495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 76926312495200 in words is "seventy-six trillion, nine hundred twenty-six billion, three hundred twelve million, four hundred ninety-five thousand, two hundred".