813818880 has 528 divisors, whose sum is σ = 3423239040. Its totient is φ = 179601408.

The previous prime is 813818843. The next prime is 813818893. The reversal of 813818880 is 88818318.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 28062706 + ... + 28062734.

Almost surely, 2^813818880 is an apocalyptic number.

813818880 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 813818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711619520).

813818880 is an abundant number, since it is smaller than the sum of its proper divisors (2609420160).

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

813818880 is a wasteful number, since it uses less digits than its factorization.

813818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The square root of 813818880 is about 28527.5109324315. The cubic root of 813818880 is about 933.6324120890.

The spelling of 813818880 in words is "eight hundred thirteen million, eight hundred eighteen thousand, eight hundred eighty".