802879200 has 216 divisors, whose sum is σ = 2980668600. Its totient is φ = 202798080.

The previous prime is 802879183. The next prime is 802879211. The reversal of 802879200 is 2978208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133866 + ... + 139734.

Almost surely, 2^802879200 is an apocalyptic number.

802879200 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 802879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490334300).

802879200 is an abundant number, since it is smaller than the sum of its proper divisors (2177789400).

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

802879200 is a wasteful number, since it uses less digits than its factorization.

802879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 802879200 is about 28335.1230807279. The cubic root of 802879200 is about 929.4301052333.

The spelling of 802879200 in words is "eight hundred two million, eight hundred seventy-nine thousand, two hundred".