800890000 has 75 divisors (see below), whose sum is σ = 1945910703. Its totient is φ = 319224000.

The previous prime is 800889989. The next prime is 800890019. The reversal of 800890000 is 98008.

The square root of 800890000 is 28300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 62789776 + 738100224 = 7924^2 + 27168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2829859 + ... + 2830141.

Almost surely, 2^800890000 is an apocalyptic number.

800890000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

800890000 is the 28300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800890000

800890000 is an abundant number, since it is smaller than the sum of its proper divisors (1145020703).

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

800890000 is an frugal number, since it uses more digits than its factorization.

800890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The cubic root of 800890000 is about 928.6618903134.

Multiplying 800890000 by its sum of digits (25), we get a square (20022250000 = 141500²).

800890000 divided by its sum of digits (25) gives a square (32035600 = 5660²).

Multiplying 800890000 by its product of nonzero digits (576), we get a square (461312640000 = 679200²).

The spelling of 800890000 in words is "eight hundred million, eight hundred ninety thousand".