77584752 has 120 divisors (see below), whose sum is σ = 261272960. Its totient is φ = 20995200.

The previous prime is 77584691. The next prime is 77584777. The reversal of 77584752 is 25748577.

It is a junction number, because it is equal to n+sod(n) for n = 77584698 and 77584707.

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, 17127 + ... + 21177.

Almost surely, 2^77584752 is an apocalyptic number.

77584752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77584752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636480).

77584752 is an abundant number, since it is smaller than the sum of its proper divisors (183688208).

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

77584752 is a wasteful number, since it uses less digits than its factorization.

77584752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4082 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 77584752 is about 8808.2207056817. The cubic root of 77584752 is about 426.5063080108.

The spelling of 77584752 in words is "seventy-seven million, five hundred eighty-four thousand, seven hundred fifty-two".