77460504960 has 128 divisors (see below), whose sum is σ = 247785752160. Its totient is φ = 20582481920.

The previous prime is 77460504941. The next prime is 77460504967. The reversal of 77460504960 is 6940506477.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77460504967) 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, 467734 + ... + 611306.

Almost surely, 2^77460504960 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 77460504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123892876080).

77460504960 is an abundant number, since it is smaller than the sum of its proper divisors (170325247200).

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

77460504960 is a wasteful number, since it uses less digits than its factorization.

77460504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143876 (or 143864 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 77460504960 in words is "seventy-seven billion, four hundred sixty million, five hundred four thousand, nine hundred sixty".