77914944 has 168 divisors, whose sum is σ = 241904520. Its totient is φ = 23887872.

The previous prime is 77914937. The next prime is 77914951. The reversal of 77914944 is 44941977.

77914944 is a `hidden beast` number, since 77 + 91 + 494 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (77914937) and next prime (77914951).

It can be written as a sum of positive squares in 4 ways, for example, as 30470400 + 47444544 = 5520^2 + 6888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77914944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714762 + ... + 714870.

Almost surely, 2^77914944 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 77914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120952260).

77914944 is an abundant number, since it is smaller than the sum of its proper divisors (163989576).

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

77914944 is a wasteful number, since it uses less digits than its factorization.

77914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77914944 is about 8826.9442051029. The cubic root of 77914944 is about 427.1105060186.

The spelling of 77914944 in words is "seventy-seven million, nine hundred fourteen thousand, nine hundred forty-four".