77575252872 has 256 divisors, whose sum is σ = 222592204800. Its totient is φ = 22356311040.

The previous prime is 77575252789. The next prime is 77575252889. The reversal of 77575252872 is 27825257577.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85529043 + ... + 85529949.

It is an arithmetic number, because the mean of its divisors is an integer number (869500800).

Almost surely, 2^77575252872 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 77575252872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111296102400).

77575252872 is an abundant number, since it is smaller than the sum of its proper divisors (145016951928).

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

77575252872 is a wasteful number, since it uses less digits than its factorization.

77575252872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its digits is 19208000, while the sum is 57.

The spelling of 77575252872 in words is "seventy-seven billion, five hundred seventy-five million, two hundred fifty-two thousand, eight hundred seventy-two".