813374480 has 80 divisors (see below), whose sum is σ = 1946661120. Its totient is φ = 315902976.

The previous prime is 813374473. The next prime is 813374483. The reversal of 813374480 is 84473318.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (813374483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514331 + ... + 515909.

It is an arithmetic number, because the mean of its divisors is an integer number (24333264).

Almost surely, 2^813374480 is an apocalyptic number.

813374480 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 813374480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973330560).

813374480 is an abundant number, since it is smaller than the sum of its proper divisors (1133286640).

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

813374480 is a wasteful number, since it uses less digits than its factorization.

813374480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 813374480 is about 28519.7208962500. The cubic root of 813374480 is about 933.4624390564.

The spelling of 813374480 in words is "eight hundred thirteen million, three hundred seventy-four thousand, four hundred eighty".