801274320 has 480 divisors, whose sum is σ = 3412281600. Its totient is φ = 163676160.

The previous prime is 801274319. The next prime is 801274333. The reversal of 801274320 is 23472108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5377606 + ... + 5377754.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^801274320 is an apocalyptic number.

801274320 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 801274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

801274320 is an abundant number, since it is smaller than the sum of its proper divisors (2611007280).

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

801274320 is a wasteful number, since it uses less digits than its factorization.

801274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 801274320 is about 28306.7892916169. The cubic root of 801274320 is about 928.8104110276.

The spelling of 801274320 in words is "eight hundred one million, two hundred seventy-four thousand, three hundred twenty".