77338944 has 42 divisors (see below), whose sum is σ = 221679770. Its totient is φ = 25779456.

The previous prime is 77338931. The next prime is 77338957. The reversal of 77338944 is 44983377.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77338931) and next prime (77338957).

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 1440000 = 8712^2 + 1200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77338944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66559 + ... + 67710.

Almost surely, 2^77338944 is an apocalyptic number.

It is an amenable number.

77338944 is an abundant number, since it is smaller than the sum of its proper divisors (144340826).

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

77338944 is a wasteful number, since it uses less digits than its factorization.

77338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134287 (or 134274 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 77338944 is about 8794.2563073861. The cubic root of 77338944 is about 426.0554050797.

The spelling of 77338944 in words is "seventy-seven million, three hundred thirty-eight thousand, nine hundred forty-four".