76028440800 has 576 divisors, whose sum is σ = 274872407040. Its totient is φ = 18135982080.

The previous prime is 76028440783. The next prime is 76028440837. The reversal of 76028440800 is 804482067.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 203829414 + ... + 203829786.

It is an arithmetic number, because the mean of its divisors is an integer number (477209040).

Almost surely, 2^76028440800 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 76028440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137436203520).

76028440800 is an abundant number, since it is smaller than the sum of its proper divisors (198843966240).

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

76028440800 is a wasteful number, since it uses less digits than its factorization.

76028440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 76028440800 in words is "seventy-six billion, twenty-eight million, four hundred forty thousand, eight hundred".