77885848320 has 576 divisors, whose sum is σ = 295874396160. Its totient is φ = 17086464000.

The previous prime is 77885848319. The next prime is 77885848331. The reversal of 77885848320 is 2384858877.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125824971 + ... + 125825589.

Almost surely, 2^77885848320 is an apocalyptic number.

77885848320 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 77885848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147937198080).

77885848320 is an abundant number, since it is smaller than the sum of its proper divisors (217988547840).

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

77885848320 is a wasteful number, since it uses less digits than its factorization.

77885848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 77885848320 in words is "seventy-seven billion, eight hundred eighty-five million, eight hundred forty-eight thousand, three hundred twenty".