813007880 has 128 divisors (see below), whose sum is σ = 1950220800. Its totient is φ = 304668672.

The previous prime is 813007879. The next prime is 813007889. The reversal of 813007880 is 88700318.

It is a self number, because there is not a number n which added to its sum of digits gives 813007880.

It is not an unprimeable number, because it can be changed into a prime (813007889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7194704 + ... + 7194816.

It is an arithmetic number, because the mean of its divisors is an integer number (15236100).

Almost surely, 2^813007880 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 813007880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

813007880 is an abundant number, since it is smaller than the sum of its proper divisors (1137212920).

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

813007880 is a wasteful number, since it uses less digits than its factorization.

813007880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 813007880 is about 28513.2930402646. The cubic root of 813007880 is about 933.3221761705.

The spelling of 813007880 in words is "eight hundred thirteen million, seven thousand, eight hundred eighty".