76389325088076 has 864 divisors, whose sum is σ = 273303942912000. Its totient is φ = 17672773708800.

The previous prime is 76389325087987. The next prime is 76389325088107. The reversal of 76389325088076 is 67088052398367.

It is a happy number.

76389325088076 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 9 + 32 + 508 + 80 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76389325087995 and 76389325088013.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 841719550 + ... + 841810298.

It is an arithmetic number, because the mean of its divisors is an integer number (316324008000).

Almost surely, 2^{76389325088076} 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 76389325088076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136651971456000).

76389325088076 is an abundant number, since it is smaller than the sum of its proper divisors (196914617823924).

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

76389325088076 is a wasteful number, since it uses less digits than its factorization.

76389325088076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90915 (or 90903 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 76389325088076 in words is "seventy-six trillion, three hundred eighty-nine billion, three hundred twenty-five million, eighty-eight thousand, seventy-six".