76866753600 has 672 divisors, whose sum is σ = 344888759040. Its totient is φ = 16217210880.

The previous prime is 76866753581. The next prime is 76866753611. The reversal of 76866753600 is 635766867.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×76866753600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3921424 + ... + 3940976.

It is an arithmetic number, because the mean of its divisors is an integer number (513227320).

Almost surely, 2^76866753600 is an apocalyptic number.

76866753600 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 76866753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172444379520).

76866753600 is an abundant number, since it is smaller than the sum of its proper divisors (268022005440).

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

76866753600 is a wasteful number, since it uses less digits than its factorization.

76866753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19604 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 76866753600 in words is "seventy-six billion, eight hundred sixty-six million, seven hundred fifty-three thousand, six hundred".