77728824 has 48 divisors (see below), whose sum is σ = 210993120. Its totient is φ = 25850880.

The previous prime is 77728801. The next prime is 77728831. The reversal of 77728824 is 42882777.

It is a self number, because there is not a number n which added to its sum of digits gives 77728824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40609 + ... + 42479.

It is an arithmetic number, because the mean of its divisors is an integer number (4395690).

Almost surely, 2^77728824 is an apocalyptic number.

It is an amenable number.

77728824 is an abundant number, since it is smaller than the sum of its proper divisors (133264296).

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

77728824 is a wasteful number, since it uses less digits than its factorization.

77728824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2453 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 77728824 is about 8816.3951817055. The cubic root of 77728824 is about 426.7701468842.

The spelling of 77728824 in words is "seventy-seven million, seven hundred twenty-eight thousand, eight hundred twenty-four".