801532992 has 224 divisors, whose sum is σ = 2387242368. Its totient is φ = 235782144.

The previous prime is 801532981. The next prime is 801533009. The reversal of 801532992 is 299235108.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 801532992.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9656983 + ... + 9657065.

It is an arithmetic number, because the mean of its divisors is an integer number (10657332).

Almost surely, 2^801532992 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 801532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193621184).

801532992 is an abundant number, since it is smaller than the sum of its proper divisors (1585709376).

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

801532992 is a wasteful number, since it uses less digits than its factorization.

801532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 801532992 is about 28311.3580034586. The cubic root of 801532992 is about 928.9103482532.

The spelling of 801532992 in words is "eight hundred one million, five hundred thirty-two thousand, nine hundred ninety-two".