76423884800 has 312 divisors, whose sum is σ = 203323685856. Its totient is φ = 28417720320.

The previous prime is 76423884791. The next prime is 76423884811. The reversal of 76423884800 is 848832467.

It is a super-2 number, since 2×76423884800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87141962 + ... + 87142838.

Almost surely, 2^76423884800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76423884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101661842928).

76423884800 is an abundant number, since it is smaller than the sum of its proper divisors (126899801056).

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

76423884800 is a wasteful number, since it uses less digits than its factorization.

76423884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 76423884800 in words is "seventy-six billion, four hundred twenty-three million, eight hundred eighty-four thousand, eight hundred".