802800 has 90 divisors (see below), whose sum is σ = 2798432. Its totient is φ = 213120.

The previous prime is 802799. The next prime is 802811. The reversal of 802800 is 8208.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3489 + ... + 3711.

2⁸⁰²⁸⁰⁰ is an apocalyptic number.

802800 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 802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399216).

802800 is an abundant number, since it is smaller than the sum of its proper divisors (1995632).

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

802800 is a wasteful number, since it uses less digits than its factorization.

802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 802800 is about 895.9910713841. The cubic root of 802800 is about 92.9399543025.

The spelling of 802800 in words is "eight hundred two thousand, eight hundred".