76839526400 has 1008 divisors, whose sum is σ = 259380898560. Its totient is φ = 22295347200.

The previous prime is 76839526399. The next prime is 76839526411. The reversal of 76839526400 is 462593867.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2478694385 + ... + 2478694415.

It is an arithmetic number, because the mean of its divisors is an integer number (257322320).

Almost surely, 2^76839526400 is an apocalyptic number.

76839526400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76839526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129690449280).

76839526400 is an abundant number, since it is smaller than the sum of its proper divisors (182541372160).

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

76839526400 is a wasteful number, since it uses less digits than its factorization.

76839526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 76839526400 in words is "seventy-six billion, eight hundred thirty-nine million, five hundred twenty-six thousand, four hundred".