77339560320 has 768 divisors, whose sum is σ = 307872230400. Its totient is φ = 18326753280.

The previous prime is 77339560307. The next prime is 77339560421. The reversal of 77339560320 is 2306593377.

77339560320 is a `hidden beast` number, since 7 + 7 + 3 + 39 + 5 + 603 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98270967 + ... + 98271753.

It is an arithmetic number, because the mean of its divisors is an integer number (400875300).

Almost surely, 2^77339560320 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 77339560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153936115200).

77339560320 is an abundant number, since it is smaller than the sum of its proper divisors (230532670080).

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

77339560320 is a wasteful number, since it uses less digits than its factorization.

77339560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 77339560320 in words is "seventy-seven billion, three hundred thirty-nine million, five hundred sixty thousand, three hundred twenty".