8025756160 has 160 divisors (see below), whose sum is σ = 20732101632. Its totient is φ = 2970992640.

The previous prime is 8025756107. The next prime is 8025756203. The reversal of 8025756160 is 616575208.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1823082 + ... + 1827478.

Almost surely, 2^8025756160 is an apocalyptic number.

8025756160 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 8025756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366050816).

8025756160 is an abundant number, since it is smaller than the sum of its proper divisors (12706345472).

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

8025756160 is a wasteful number, since it uses less digits than its factorization.

8025756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 8025756160 is about 89586.5847099888. The cubic root of 8025756160 is about 2002.1440473758.

The spelling of 8025756160 in words is "eight billion, twenty-five million, seven hundred fifty-six thousand, one hundred sixty".