77744672 has 48 divisors (see below), whose sum is σ = 163010232. Its totient is φ = 36372480.

The previous prime is 77744647. The next prime is 77744687. The reversal of 77744672 is 27644777.

It can be written as a sum of positive squares in 4 ways, for example, as 77510416 + 234256 = 8804^2 + 484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130808 + ... + 131400.

Almost surely, 2^77744672 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 77744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81505116).

77744672 is an abundant number, since it is smaller than the sum of its proper divisors (85265560).

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

77744672 is a wasteful number, since it uses less digits than its factorization.

77744672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its digits is 460992, while the sum is 44.

The square root of 77744672 is about 8817.2939159359. The cubic root of 77744672 is about 426.7991493972.

The spelling of 77744672 in words is "seventy-seven million, seven hundred forty-four thousand, six hundred seventy-two".