77927951360 has 176 divisors, whose sum is σ = 213930823680. Its totient is φ = 26681917440.

The previous prime is 77927951323. The next prime is 77927951371. The reversal of 77927951360 is 6315972977.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 77927951296 and 77927951305.

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, 51573005 + ... + 51574515.

Almost surely, 2^77927951360 is an apocalyptic number.

77927951360 is a gapful number since it is divisible by the number (70) 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 77927951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106965411840).

77927951360 is an abundant number, since it is smaller than the sum of its proper divisors (136002872320).

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

77927951360 is a wasteful number, since it uses less digits than its factorization.

77927951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 56.

The spelling of 77927951360 in words is "seventy-seven billion, nine hundred twenty-seven million, nine hundred fifty-one thousand, three hundred sixty".