8125364880 has 320 divisors, whose sum is σ = 30019507200. Its totient is φ = 2012774400.

The previous prime is 8125364861. The next prime is 8125364903. The reversal of 8125364880 is 884635218.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 2899480 + ... + 2902280.

It is an arithmetic number, because the mean of its divisors is an integer number (93810960).

Almost surely, 2^8125364880 is an apocalyptic number.

8125364880 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 8125364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009753600).

8125364880 is an abundant number, since it is smaller than the sum of its proper divisors (21894142320).

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

8125364880 is a wasteful number, since it uses less digits than its factorization.

8125364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8125364880 is about 90140.8058539527. The cubic root of 8125364880 is about 2010.3929728423.

The spelling of 8125364880 in words is "eight billion, one hundred twenty-five million, three hundred sixty-four thousand, eight hundred eighty".