77342902560 has 1152 divisors, whose sum is σ = 346448793600. Its totient is φ = 15242895360.

The previous prime is 77342902547. The next prime is 77342902583. The reversal of 77342902560 is 6520924377.

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 191 ways as a sum of consecutive naturals, for example, 215439661 + ... + 215440019.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^77342902560 is an apocalyptic number.

77342902560 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 77342902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800).

77342902560 is an abundant number, since it is smaller than the sum of its proper divisors (269105891040).

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

77342902560 is a wasteful number, since it uses less digits than its factorization.

77342902560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 77342902560 in words is "seventy-seven billion, three hundred forty-two million, nine hundred two thousand, five hundred sixty".