801372000 has 384 divisors, whose sum is σ = 3090866688. Its totient is φ = 178944000.

The previous prime is 801371969. The next prime is 801372007. The reversal of 801372000 is 273108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801372007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715767 + ... + 1716233.

It is an arithmetic number, because the mean of its divisors is an integer number (8049132).

Almost surely, 2^801372000 is an apocalyptic number.

801372000 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 801372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545433344).

801372000 is an abundant number, since it is smaller than the sum of its proper divisors (2289494688).

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

801372000 is a wasteful number, since it uses less digits than its factorization.

801372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 801372000 is about 28308.5146201633. The cubic root of 801372000 is about 928.8481519578.

The spelling of 801372000 in words is "eight hundred one million, three hundred seventy-two thousand".