801374400 has 504 divisors, whose sum is σ = 3132277200. Its totient is φ = 193536000.

The previous prime is 801374389. The next prime is 801374411. The reversal of 801374400 is 4473108.

It is an interprime number because it is at equal distance from previous prime (801374389) and next prime (801374411).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7934350 + ... + 7934450.

Almost surely, 2^801374400 is an apocalyptic number.

801374400 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 801374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566138600).

801374400 is an abundant number, since it is smaller than the sum of its proper divisors (2330902800).

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

801374400 is a wasteful number, since it uses less digits than its factorization.

801374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

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

The square root of 801374400 is about 28308.5570102045. The cubic root of 801374400 is about 928.8490792147.

The spelling of 801374400 in words is "eight hundred one million, three hundred seventy-four thousand, four hundred".