77509852 has 12 divisors (see below), whose sum is σ = 155019760. Its totient is φ = 33218496.

The previous prime is 77509849. The next prime is 77509871. The reversal of 77509852 is 25890577.

77509852 is an admirable number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77509799 and 77509808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1384077 + ... + 1384132.

Almost surely, 2^77509852 is an apocalyptic number.

It is an amenable number.

77509852 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

77509852 is a wasteful number, since it uses less digits than its factorization.

77509852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768220 (or 2768218 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 77509852 is about 8803.9679690467. The cubic root of 77509852 is about 426.3690146762.

The spelling of 77509852 in words is "seventy-seven million, five hundred nine thousand, eight hundred fifty-two".