77679863784 has 480 divisors, whose sum is σ = 241889376960. Its totient is φ = 23265792000.

The previous prime is 77679863747. The next prime is 77679863873. The reversal of 77679863784 is 48736897677.

It is a super-2 number, since 2×77679863784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 514436109 + ... + 514436259.

It is an arithmetic number, because the mean of its divisors is an integer number (503936202).

Almost surely, 2^77679863784 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 77679863784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944688480).

77679863784 is an abundant number, since it is smaller than the sum of its proper divisors (164209513176).

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

77679863784 is a wasteful number, since it uses less digits than its factorization.

77679863784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 77679863784 in words is "seventy-seven billion, six hundred seventy-nine million, eight hundred sixty-three thousand, seven hundred eighty-four".