77895758080 has 144 divisors (see below), whose sum is σ = 213517221120. Its totient is φ = 26672357376.

The previous prime is 77895758069. The next prime is 77895758167. The reversal of 77895758080 is 8085759877.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7422597 + ... + 7433083.

It is an arithmetic number, because the mean of its divisors is an integer number (1482758480).

Almost surely, 2^77895758080 is an apocalyptic number.

77895758080 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 77895758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106758610560).

77895758080 is an abundant number, since it is smaller than the sum of its proper divisors (135621463040).

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

77895758080 is a wasteful number, since it uses less digits than its factorization.

77895758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 64.

The spelling of 77895758080 in words is "seventy-seven billion, eight hundred ninety-five million, seven hundred fifty-eight thousand, eighty".