77001632 has 24 divisors (see below), whose sum is σ = 151899300. Its totient is φ = 38424064.

The previous prime is 77001629. The next prime is 77001637. The reversal of 77001632 is 23610077.

It can be written as a sum of positive squares in 2 ways, for example, as 74580496 + 2421136 = 8636^2 + 1556^2 .

It is not an unprimeable number, because it can be changed into a prime (77001637) 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 3 ways as a sum of consecutive naturals, for example, 16094 + ... + 20322.

Almost surely, 2^77001632 is an apocalyptic number.

It is an amenable number.

77001632 is a deficient number, since it is larger than the sum of its proper divisors (74897668).

77001632 is a wasteful number, since it uses less digits than its factorization.

77001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 77001632 is about 8775.0573787298. The cubic root of 77001632 is about 425.4350921403.

The spelling of 77001632 in words is "seventy-seven million, one thousand, six hundred thirty-two".