77827574272 has 160 divisors (see below), whose sum is σ = 185793822720. Its totient is φ = 31866531840.

The previous prime is 77827574269. The next prime is 77827574281. The reversal of 77827574272 is 27247572877.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 8772783 + ... + 8781649.

It is an arithmetic number, because the mean of its divisors is an integer number (1161211392).

Almost surely, 2^77827574272 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 77827574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92896911360).

77827574272 is an abundant number, since it is smaller than the sum of its proper divisors (107966248448).

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

77827574272 is an equidigital number, since it uses as much as digits as its factorization.

77827574272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8986 counting only the distinct ones).

The product of its digits is 21512960, while the sum is 58.

The spelling of 77827574272 in words is "seventy-seven billion, eight hundred twenty-seven million, five hundred seventy-four thousand, two hundred seventy-two".