8057037120 has 448 divisors, whose sum is σ = 30371832576. Its totient is φ = 1787166720.

The previous prime is 8057037097. The next prime is 8057037127. The reversal of 8057037120 is 217307508.

It is a Cunningham number, because it is equal to 89761²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057037127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6641634 + ... + 6642846.

Almost surely, 2^8057037120 is an apocalyptic number.

8057037120 is a gapful number since it is divisible by the number (80) 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 8057037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185916288).

8057037120 is an abundant number, since it is smaller than the sum of its proper divisors (22314795456).

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

8057037120 is a wasteful number, since it uses less digits than its factorization.

8057037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 8057037120 is about 89760.9999944297. Note that the first 5 decimals coincide. The cubic root of 8057037120 is about 2004.7418419159.

The spelling of 8057037120 in words is "eight billion, fifty-seven million, thirty-seven thousand, one hundred twenty".