813784912920 has 320 divisors, whose sum is σ = 3309849449280. Its totient is φ = 175066251264.

The previous prime is 813784912883. The next prime is 813784912933. The reversal of 813784912920 is 29219487318.

813784912920 is a `hidden beast` number, since 81 + 3 + 78 + 491 + 2 + 9 + 2 + 0 = 666.

813784912920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 669769 + ... + 1440888.

It is an arithmetic number, because the mean of its divisors is an integer number (10343279529).

Almost surely, 2^813784912920 is an apocalyptic number.

It is an amenable number.

813784912920 is an abundant number, since it is smaller than the sum of its proper divisors (2496064536360).

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

813784912920 is a wasteful number, since it uses less digits than its factorization.

813784912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110704 (or 2110691 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 813784912920 in words is "eight hundred thirteen billion, seven hundred eighty-four million, nine hundred twelve thousand, nine hundred twenty".