76321540800 has 1008 divisors, whose sum is σ = 308437178400. Its totient is φ = 17783193600.

The previous prime is 76321540793. The next prime is 76321540811. The reversal of 76321540800 is 804512367.

76321540800 is a `hidden beast` number, since 7 + 6 + 32 + 1 + 540 + 80 + 0 = 666.

It is a super-3 number, since 3×76321540800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283723066 + ... + 283723334.

Almost surely, 2^76321540800 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 76321540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154218589200).

76321540800 is an abundant number, since it is smaller than the sum of its proper divisors (232115637600).

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

76321540800 is a wasteful number, since it uses less digits than its factorization.

76321540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 76321540800 in words is "seventy-six billion, three hundred twenty-one million, five hundred forty thousand, eight hundred".