813768120 has 448 divisors, whose sum is σ = 3116361600. Its totient is φ = 189423360.

The previous prime is 813768097. The next prime is 813768139. The reversal of 813768120 is 21867318.

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 111 ways as a sum of consecutive naturals, for example, 13792651 + ... + 13792709.

Almost surely, 2^813768120 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 813768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558180800).

813768120 is an abundant number, since it is smaller than the sum of its proper divisors (2302593480).

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

813768120 is a wasteful number, since it uses less digits than its factorization.

813768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 813768120 is about 28526.6212510350. The cubic root of 813768120 is about 933.6130006582.

It can be divided in two parts, 8 and 13768120, that added together give a triangular number (13768128 = T₅₂₄₇).

The spelling of 813768120 in words is "eight hundred thirteen million, seven hundred sixty-eight thousand, one hundred twenty".