77859851832 has 384 divisors, whose sum is σ = 256345689600. Its totient is φ = 21829118976.

The previous prime is 77859851791. The next prime is 77859851843. The reversal of 77859851832 is 23815895877.

77859851832 is a `hidden beast` number, since 7 + 7 + 8 + 598 + 5 + 1 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77859851832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231037968 + ... + 231038304.

It is an arithmetic number, because the mean of its divisors is an integer number (667566900).

Almost surely, 2^77859851832 is an apocalyptic number.

77859851832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77859851832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128172844800).

77859851832 is an abundant number, since it is smaller than the sum of its proper divisors (178485837768).

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

77859851832 is a wasteful number, since it uses less digits than its factorization.

77859851832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 77859851832 in words is "seventy-seven billion, eight hundred fifty-nine million, eight hundred fifty-one thousand, eight hundred thirty-two".