76932401 has 48 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 56593152.

The previous prime is 76932397. The next prime is 76932431. The reversal of 76932401 is 10423967.

It is not a de Polignac number, because 76932401 - 2² = 76932397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76932431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864365 + ... + 864453.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^76932401 is an apocalyptic number.

It is an amenable number.

76932401 is a deficient number, since it is larger than the sum of its proper divisors (26488399).

76932401 is a wasteful number, since it uses less digits than its factorization.

76932401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 76932401 is about 8771.1117311319. Note that the first 3 decimals coincide. The cubic root of 76932401 is about 425.3075531626.

The spelling of 76932401 in words is "seventy-six million, nine hundred thirty-two thousand, four hundred one".