77582251872 has 48 divisors (see below), whose sum is σ = 226281570480. Its totient is φ = 25860750336.

The previous prime is 77582251867. The next prime is 77582251889. The reversal of 77582251872 is 27815228577.

It is a happy number.

77582251872 is a `hidden beast` number, since 7 + 7 + 58 + 2 + 2 + 518 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 44896273 + ... + 44898000.

It is an arithmetic number, because the mean of its divisors is an integer number (4714199385).

Almost surely, 2^77582251872 is an apocalyptic number.

77582251872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77582251872 is an abundant number, since it is smaller than the sum of its proper divisors (148699318608).

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

77582251872 is a wasteful number, since it uses less digits than its factorization.

77582251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89794292 (or 89794278 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 54.

The spelling of 77582251872 in words is "seventy-seven billion, five hundred eighty-two million, two hundred fifty-one thousand, eight hundred seventy-two".