76363508400 has 120 divisors (see below), whose sum is σ = 244828419264. Its totient is φ = 20346067200.

The previous prime is 76363508387. The next prime is 76363508401. The reversal of 76363508400 is 480536367.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (76363508401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397595 + ... + 1451205.

Almost surely, 2^76363508400 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 76363508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122414209632).

76363508400 is an abundant number, since it is smaller than the sum of its proper divisors (168464910864).

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

76363508400 is a wasteful number, since it uses less digits than its factorization.

76363508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54819 (or 54808 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 76363508400 in words is "seventy-six billion, three hundred sixty-three million, five hundred eight thousand, four hundred".