77007928320 has 792 divisors, whose sum is σ = 289192168512. Its totient is φ = 18924503040.

The previous prime is 77007928313. The next prime is 77007928369. The reversal of 77007928320 is 2382970077.

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 71 ways as a sum of consecutive naturals, for example, 1638466537 + ... + 1638466583.

Almost surely, 2^77007928320 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 77007928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144596084256).

77007928320 is an abundant number, since it is smaller than the sum of its proper divisors (212184240192).

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

77007928320 is a wasteful number, since it uses less digits than its factorization.

77007928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 77007928320 in words is "seventy-seven billion, seven million, nine hundred twenty-eight thousand, three hundred twenty".