802259376800 has 144 divisors (see below), whose sum is σ = 2240368607232. Its totient is φ = 274806604800.

The previous prime is 802259376767. The next prime is 802259376811. The reversal of 802259376800 is 8673952208.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6055265 + ... + 6186335.

It is an arithmetic number, because the mean of its divisors is an integer number (15558115328).

Almost surely, 2^802259376800 is an apocalyptic number.

802259376800 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 802259376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120184303616).

802259376800 is an abundant number, since it is smaller than the sum of its proper divisors (1438109230432).

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

802259376800 is a wasteful number, since it uses less digits than its factorization.

802259376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132191 (or 132178 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 802259376800 in words is "eight hundred two billion, two hundred fifty-nine million, three hundred seventy-six thousand, eight hundred".