77414952960 has 520 divisors, whose sum is σ = 289721567520. Its totient is φ = 19736690688.

The previous prime is 77414952959. The next prime is 77414953117. The reversal of 77414952960 is 6925941477.

77414952960 is a `hidden beast` number, since 7 + 74 + 1 + 49 + 529 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 77414952897 and 77414952906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38153226 + ... + 38155254.

Almost surely, 2^77414952960 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 77414952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144860783760).

77414952960 is an abundant number, since it is smaller than the sum of its proper divisors (212306614560).

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

77414952960 is a wasteful number, since it uses less digits than its factorization.

77414952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77414952960 in words is "seventy-seven billion, four hundred fourteen million, nine hundred fifty-two thousand, nine hundred sixty".