813790926900 has 1152 divisors, whose sum is σ = 3192712320000. Its totient is φ = 177526702080.

The previous prime is 813790926841. The next prime is 813790926917. The reversal of 813790926900 is 9629097318.

813790926900 is a `hidden beast` number, since 8 + 1 + 379 + 0 + 9 + 269 + 0 + 0 = 666.

813790926900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813790926900² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4216533204 + ... + 4216533396.

Almost surely, 2^813790926900 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 813790926900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596356160000).

813790926900 is an abundant number, since it is smaller than the sum of its proper divisors (2378921393100).

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

813790926900 is a wasteful number, since it uses less digits than its factorization.

813790926900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 813790926900 in words is "eight hundred thirteen billion, seven hundred ninety million, nine hundred twenty-six thousand, nine hundred".