801256320 has 256 divisors, whose sum is σ = 2875176000. Its totient is φ = 210862080.

The previous prime is 801256301. The next prime is 801256363. The reversal of 801256320 is 23652108.

801256320 is a `hidden beast` number, since 8 + 0 + 1 + 25 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537660 + ... + 1538180.

Almost surely, 2^801256320 is an apocalyptic number.

801256320 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 801256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437588000).

801256320 is an abundant number, since it is smaller than the sum of its proper divisors (2073919680).

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

801256320 is a wasteful number, since it uses less digits than its factorization.

801256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 801256320 is about 28306.4713449063. The cubic root of 801256320 is about 928.8034559760.

The spelling of 801256320 in words is "eight hundred one million, two hundred fifty-six thousand, three hundred twenty".