810052992 has 384 divisors, whose sum is σ = 2978726400. Its totient is φ = 205701120.

The previous prime is 810052979. The next prime is 810053003. The reversal of 810052992 is 299250018.

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

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, 2604517 + ... + 2604827.

It is an arithmetic number, because the mean of its divisors is an integer number (7757100).

Almost surely, 2^810052992 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 810052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489363200).

810052992 is an abundant number, since it is smaller than the sum of its proper divisors (2168673408).

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

810052992 is a wasteful number, since it uses less digits than its factorization.

810052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 810052992 is about 28461.4299008325. The cubic root of 810052992 is about 932.1900795484.

The spelling of 810052992 in words is "eight hundred ten million, fifty-two thousand, nine hundred ninety-two".