76396492800 has 432 divisors, whose sum is σ = 274990290120. Its totient is φ = 20269301760.

The previous prime is 76396492793. The next prime is 76396492871. The reversal of 76396492800 is 829469367.

It is a happy number.

76396492800 is a `hidden beast` number, since 7 + 63 + 96 + 492 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×76396492800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146073339 + ... + 146073861.

Almost surely, 2^76396492800 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 76396492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137495145060).

76396492800 is an abundant number, since it is smaller than the sum of its proper divisors (198593797320).

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

76396492800 is a wasteful number, since it uses less digits than its factorization.

76396492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 76396492800 in words is "seventy-six billion, three hundred ninety-six million, four hundred ninety-two thousand, eight hundred".