77853272 has 32 divisors (see below), whose sum is σ = 167162400. Its totient is φ = 33298944.

The previous prime is 77853247. The next prime is 77853299. The reversal of 77853272 is 27235877.

It is a super-2 number, since 2×77853272² = 12122263922211968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35504 + ... + 37632.

It is an arithmetic number, because the mean of its divisors is an integer number (5223825).

Almost surely, 2^77853272 is an apocalyptic number.

It is an amenable number.

77853272 is an abundant number, since it is smaller than the sum of its proper divisors (89309128).

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

77853272 is a wasteful number, since it uses less digits than its factorization.

77853272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its digits is 164640, while the sum is 41.

The square root of 77853272 is about 8823.4501188594. The cubic root of 77853272 is about 426.9977860419.

It can be divided in two parts, 77853 and 272, that added together give a 7-th power (78125 = 5⁷).

The spelling of 77853272 in words is "seventy-seven million, eight hundred fifty-three thousand, two hundred seventy-two".