77507438760 has 160 divisors (see below), whose sum is σ = 268915046400. Its totient is φ = 20001893760.

The previous prime is 77507438753. The next prime is 77507438761. The reversal of 77507438760 is 6783470577.

77507438760 is a `hidden beast` number, since 77 + 507 + 4 + 3 + 8 + 7 + 60 = 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 = 77507438697 and 77507438706.

It is not an unprimeable number, because it can be changed into a prime (77507438761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285400 + ... + 486279.

It is an arithmetic number, because the mean of its divisors is an integer number (1680719040).

Almost surely, 2^77507438760 is an apocalyptic number.

It is an amenable number.

77507438760 is an abundant number, since it is smaller than the sum of its proper divisors (191407607640).

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

77507438760 is a wasteful number, since it uses less digits than its factorization.

77507438760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771733 (or 771720 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 77507438760 in words is "seventy-seven billion, five hundred seven million, four hundred thirty-eight thousand, seven hundred sixty".