819125880 has 128 divisors (see below), whose sum is σ = 2604571200. Its totient is φ = 205721600.

The previous prime is 819125863. The next prime is 819125899. The reversal of 819125880 is 88521918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139810 + ... + 145550.

Almost surely, 2^819125880 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 819125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302285600).

819125880 is an abundant number, since it is smaller than the sum of its proper divisors (1785445320).

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

819125880 is a wasteful number, since it uses less digits than its factorization.

819125880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The square root of 819125880 is about 28620.3752595943. The cubic root of 819125880 is about 935.6574555600.

The spelling of 819125880 in words is "eight hundred nineteen million, one hundred twenty-five thousand, eight hundred eighty".