77352122880 has 400 divisors, whose sum is σ = 278413713864. Its totient is φ = 20525875200.

The previous prime is 77352122851. The next prime is 77352122941. The reversal of 77352122880 is 8822125377.

77352122880 is a `hidden beast` number, since 7 + 7 + 352 + 12 + 288 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72434186496 + 4917936384 = 269136^2 + 70128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48314080 + ... + 48315680.

Almost surely, 2^77352122880 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 77352122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139206856932).

77352122880 is an abundant number, since it is smaller than the sum of its proper divisors (201061590984).

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

77352122880 is a wasteful number, since it uses less digits than its factorization.

77352122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 77352122880 in words is "seventy-seven billion, three hundred fifty-two million, one hundred twenty-two thousand, eight hundred eighty".