802876752 has 80 divisors (see below), whose sum is σ = 2325089280. Its totient is φ = 265241088.

The previous prime is 802876751. The next prime is 802876771. The reversal of 802876752 is 257678208.

It is a super-2 number, since 2×802876752² = 1289222157804139008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 802876698 and 802876707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802876751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40593 + ... + 57039.

It is an arithmetic number, because the mean of its divisors is an integer number (29063616).

Almost surely, 2^802876752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802876752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162544640).

802876752 is an abundant number, since it is smaller than the sum of its proper divisors (1522212528).

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

802876752 is a wasteful number, since it uses less digits than its factorization.

802876752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577 (or 16565 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 802876752 is about 28335.0798834237. The cubic root of 802876752 is about 929.4291606133.

The spelling of 802876752 in words is "eight hundred two million, eight hundred seventy-six thousand, seven hundred fifty-two".