813399880 has 64 divisors (see below), whose sum is σ = 1930910400. Its totient is φ = 307526400.

The previous prime is 813399871. The next prime is 813399883. The reversal of 813399880 is 88993318.

It is a super-3 number, since 3×813399880³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (813399883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426930 + ... + 428830.

It is an arithmetic number, because the mean of its divisors is an integer number (30170475).

Almost surely, 2^813399880 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 813399880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965455200).

813399880 is an abundant number, since it is smaller than the sum of its proper divisors (1117510520).

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

813399880 is a wasteful number, since it uses less digits than its factorization.

813399880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 813399880 is about 28520.1661986742. The cubic root of 813399880 is about 933.4721556546.

It can be divided in two parts, 81339 and 9880, that added together give a palindrome (91219).

The spelling of 813399880 in words is "eight hundred thirteen million, three hundred ninety-nine thousand, eight hundred eighty".