77490338688 has 320 divisors, whose sum is σ = 264138547200. Its totient is φ = 22091056128.

The previous prime is 77490338641. The next prime is 77490338759. The reversal of 77490338688 is 88683309477.

It is a super-2 number, since 2×77490338688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 44052753 + ... + 44054511.

It is an arithmetic number, because the mean of its divisors is an integer number (825432960).

Almost surely, 2^77490338688 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 77490338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132069273600).

77490338688 is an abundant number, since it is smaller than the sum of its proper divisors (186648208512).

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

77490338688 is a wasteful number, since it uses less digits than its factorization.

77490338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 77490338688 in words is "seventy-seven billion, four hundred ninety million, three hundred thirty-eight thousand, six hundred eighty-eight".