76391432100 has 405 divisors, whose sum is σ = 257607715827. Its totient is φ = 19581678720.

The previous prime is 76391432069. The next prime is 76391432123. The reversal of 76391432100 is 123419367.

The square root of 76391432100 is 276390.

It is a perfect power (a square), and thus also a powerful number.

76391432100 is a `hidden beast` number, since 7 + 639 + 1 + 4 + 3 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7251884964 + 69139547136 = 85158^2 + 262944^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 134 ways as a sum of consecutive naturals, for example, 920378659 + ... + 920378741.

Almost surely, 2^76391432100 is an apocalyptic number.

76391432100 is the 276390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76391432100

76391432100 is an abundant number, since it is smaller than the sum of its proper divisors (181216283727).

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

76391432100 is a wasteful number, since it uses less digits than its factorization.

76391432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 76391432100 by its sum of digits (36), we get a square (2750091555600 = 1658340²).

76391432100 divided by its sum of digits (36) gives a square (2121984225 = 46065²).

The spelling of 76391432100 in words is "seventy-six billion, three hundred ninety-one million, four hundred thirty-two thousand, one hundred".