801290880 has 640 divisors, whose sum is σ = 3265693200. Its totient is φ = 185794560.

The previous prime is 801290843. The next prime is 801290927. The reversal of 801290880 is 88092108.

It can be written as a sum of positive squares in 8 ways, for example, as 48776256 + 752514624 = 6984^2 + 27432^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19543660 + ... + 19543700.

Almost surely, 2^801290880 is an apocalyptic number.

801290880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632846600).

801290880 is an abundant number, since it is smaller than the sum of its proper divisors (2464402320).

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

801290880 is a wasteful number, since it uses less digits than its factorization.

801290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 801290880 is about 28307.0817994367. The cubic root of 801290880 is about 928.8168095830.

The spelling of 801290880 in words is "eight hundred one million, two hundred ninety thousand, eight hundred eighty".