813267840 has 256 divisors, whose sum is σ = 3232535040. Its totient is φ = 168960000.

The previous prime is 813267823. The next prime is 813267869. The reversal of 813267840 is 48762318.

It is a super-2 number, since 2×813267840² = 1322809159156531200, which contains 22 as substring.

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, 145090 + ... + 150590.

It is an arithmetic number, because the mean of its divisors is an integer number (12627090).

Almost surely, 2^813267840 is an apocalyptic number.

813267840 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 813267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616267520).

813267840 is an abundant number, since it is smaller than the sum of its proper divisors (2419267200).

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

813267840 is a wasteful number, since it uses less digits than its factorization.

813267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 813267840 is about 28517.8512514530. The cubic root of 813267840 is about 933.4216424379.

The spelling of 813267840 in words is "eight hundred thirteen million, two hundred sixty-seven thousand, eight hundred forty".