801792000 has 448 divisors, whose sum is σ = 3066897600. Its totient is φ = 206438400.

The previous prime is 801791959. The next prime is 801792037. The reversal of 801792000 is 297108.

It is a super-2 number, since 2×801792000² = 1285740822528000000, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647986 + ... + 27648014.

Almost surely, 2^801792000 is an apocalyptic number.

801792000 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 801792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533448800).

801792000 is an abundant number, since it is smaller than the sum of its proper divisors (2265105600).

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

801792000 is an equidigital number, since it uses as much as digits as its factorization.

801792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 801792000 is about 28315.9319112050. The cubic root of 801792000 is about 929.0103937507.

The spelling of 801792000 in words is "eight hundred one million, seven hundred ninety-two thousand".