77515964160 has 144 divisors (see below), whose sum is σ = 248851718304. Its totient is φ = 20563623936.

The previous prime is 77515964143. The next prime is 77515964167. The reversal of 77515964160 is 6146951577.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77515964167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688824 + ... + 793416.

Almost surely, 2^77515964160 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 77515964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124425859152).

77515964160 is an abundant number, since it is smaller than the sum of its proper divisors (171335754144).

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

77515964160 is a wasteful number, since it uses less digits than its factorization.

77515964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104810 (or 104796 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 77515964160 in words is "seventy-seven billion, five hundred fifteen million, nine hundred sixty-four thousand, one hundred sixty".