813294720 has 384 divisors, whose sum is σ = 3352976640. Its totient is φ = 177610752.

The previous prime is 813294701. The next prime is 813294731. The reversal of 813294720 is 27492318.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×813294720² = 1322896603159756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 926922 + ... + 927798.

It is an arithmetic number, because the mean of its divisors is an integer number (8731710).

Almost surely, 2^813294720 is an apocalyptic number.

813294720 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 813294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676488320).

813294720 is an abundant number, since it is smaller than the sum of its proper divisors (2539681920).

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

813294720 is a wasteful number, since it uses less digits than its factorization.

813294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 813294720 is about 28518.3225313131. The cubic root of 813294720 is about 933.4319260927.

The spelling of 813294720 in words is "eight hundred thirteen million, two hundred ninety-four thousand, seven hundred twenty".