77344604160 has 544 divisors, whose sum is σ = 269523918720. Its totient is φ = 18874368000.

The previous prime is 77344604131. The next prime is 77344604189. The reversal of 77344604160 is 6140644377.

It is an interprime number because it is at equal distance from previous prime (77344604131) and next prime (77344604189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765788110 + ... + 765788210.

It is an arithmetic number, because the mean of its divisors is an integer number (495448380).

Almost surely, 2^77344604160 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 77344604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134761959360).

77344604160 is an abundant number, since it is smaller than the sum of its proper divisors (192179314560).

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

77344604160 is a wasteful number, since it uses less digits than its factorization.

77344604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 77344604160 in words is "seventy-seven billion, three hundred forty-four million, six hundred four thousand, one hundred sixty".