813942720 has 168 divisors, whose sum is σ = 2810530320. Its totient is φ = 216207360.

The previous prime is 813942673. The next prime is 813942749. The reversal of 813942720 is 27249318.

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 23 ways as a sum of consecutive naturals, for example, 1177575 + ... + 1178265.

Almost surely, 2^813942720 is an apocalyptic number.

813942720 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 813942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405265160).

813942720 is an abundant number, since it is smaller than the sum of its proper divisors (1996587600).

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

813942720 is a wasteful number, since it uses less digits than its factorization.

813942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1110 counting only the distinct ones).

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

The square root of 813942720 is about 28529.6813862335. The cubic root of 813942720 is about 933.6797670868.

The spelling of 813942720 in words is "eight hundred thirteen million, nine hundred forty-two thousand, seven hundred twenty".