77440290923520 has 792 divisors, whose sum is σ = 313124895475704. Its totient is φ = 17644636864512.

The previous prime is 77440290923497. The next prime is 77440290923539. The reversal of 77440290923520 is 2532909204477.

It is a happy number.

77440290923520 is a `hidden beast` number, since 7 + 7 + 4 + 4 + 0 + 2 + 90 + 9 + 23 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133149090816 + 77307141832704 = 364896^2 + 8792448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 715706544 + ... + 715814736.

Almost surely, 2^{77440290923520} is an apocalyptic number.

77440290923520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77440290923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156562447737852).

77440290923520 is an abundant number, since it is smaller than the sum of its proper divisors (235684604552184).

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

77440290923520 is a wasteful number, since it uses less digits than its factorization.

77440290923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108555 (or 108527 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77440290923520 in words is "seventy-seven trillion, four hundred forty billion, two hundred ninety million, nine hundred twenty-three thousand, five hundred twenty".