802876320 has 192 divisors, whose sum is σ = 2886589440. Its totient is φ = 208272384.

The previous prime is 802876313. The next prime is 802876351. The reversal of 802876320 is 23678208.

It is a happy number.

It is a super-2 number, since 2×802876320² = 1289220770433484800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157329 + ... + 162351.

It is an arithmetic number, because the mean of its divisors is an integer number (15034320).

Almost surely, 2^802876320 is an apocalyptic number.

802876320 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 802876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443294720).

802876320 is an abundant number, since it is smaller than the sum of its proper divisors (2083713120).

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

802876320 is a wasteful number, since it uses less digits than its factorization.

802876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 802876320 is about 28335.0722603631. The cubic root of 802876320 is about 929.4289939154.

It can be divided in two parts, 8028 and 76320, that added together give a palindrome (84348).

The spelling of 802876320 in words is "eight hundred two million, eight hundred seventy-six thousand, three hundred twenty".