76650974400 has 2016 divisors, whose sum is σ = 358307566848. Its totient is φ = 14089420800.

The previous prime is 76650974329. The next prime is 76650974423. The reversal of 76650974400 is 447905667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76650974400.

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 287 ways as a sum of consecutive naturals, for example, 1446244774 + ... + 1446244826.

It is an arithmetic number, because the mean of its divisors is an integer number (177731928).

Almost surely, 2^76650974400 is an apocalyptic number.

76650974400 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 76650974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179153783424).

76650974400 is an abundant number, since it is smaller than the sum of its proper divisors (281656592448).

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

76650974400 is a wasteful number, since it uses less digits than its factorization.

76650974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 76650974400 in words is "seventy-six billion, six hundred fifty million, nine hundred seventy-four thousand, four hundred".