7977413520 has 320 divisors, whose sum is σ = 28650547200. Its totient is φ = 2037934080.

The previous prime is 7977413459. The next prime is 7977413581. The reversal of 7977413520 is 253147797.

It is an interprime number because it is at equal distance from previous prime (7977413459) and next prime (7977413581).

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 63 ways as a sum of consecutive naturals, for example, 7298094 + ... + 7299186.

It is an arithmetic number, because the mean of its divisors is an integer number (89532960).

Almost surely, 2^7977413520 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 7977413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325273600).

7977413520 is an abundant number, since it is smaller than the sum of its proper divisors (20673133680).

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

7977413520 is a wasteful number, since it uses less digits than its factorization.

7977413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7977413520 is about 89316.3675929558. The cubic root of 7977413520 is about 1998.1160191988.

The spelling of 7977413520 in words is "seven billion, nine hundred seventy-seven million, four hundred thirteen thousand, five hundred twenty".