802872000 has 672 divisors, whose sum is σ = 3461552640. Its totient is φ = 180403200.

The previous prime is 802871977. The next prime is 802872013. The reversal of 802872000 is 278208.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607971 + ... + 13608029.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120).

Almost surely, 2^802872000 is an apocalyptic number.

802872000 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 802872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730776320).

802872000 is an abundant number, since it is smaller than the sum of its proper divisors (2658680640).

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

802872000 is an equidigital number, since it uses as much as digits as its factorization.

802872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 802872000 is about 28334.9960296450. The cubic root of 802872000 is about 929.4273269337.

The spelling of 802872000 in words is "eight hundred two million, eight hundred seventy-two thousand".