77130604320 has 384 divisors, whose sum is σ = 303808942080. Its totient is φ = 15979745280.

The previous prime is 77130604303. The next prime is 77130604337. The reversal of 77130604320 is 2340603177.

It is an interprime number because it is at equal distance from previous prime (77130604303) and next prime (77130604337).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 13265734 + ... + 13271546.

It is an arithmetic number, because the mean of its divisors is an integer number (791169120).

Almost surely, 2^77130604320 is an apocalyptic number.

77130604320 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 77130604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151904471040).

77130604320 is an abundant number, since it is smaller than the sum of its proper divisors (226678337760).

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

77130604320 is a wasteful number, since it uses less digits than its factorization.

77130604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 77130604320 in words is "seventy-seven billion, one hundred thirty million, six hundred four thousand, three hundred twenty".