802400976 has 60 divisors (see below), whose sum is σ = 2418353028. Its totient is φ = 246892032.

The previous prime is 802400927. The next prime is 802400983. The reversal of 802400976 is 679004208.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 732243600 = 8376^2 + 27060^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 802400976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212445 + ... + 216188.

Almost surely, 2^802400976 is an apocalyptic number.

It is an amenable number.

802400976 is an abundant number, since it is smaller than the sum of its proper divisors (1615952052).

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

802400976 is a wasteful number, since it uses less digits than its factorization.

802400976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428660 (or 428651 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 802400976 is about 28326.6831097465. The cubic root of 802400976 is about 929.2455344782.

The spelling of 802400976 in words is "eight hundred two million, four hundred thousand, nine hundred seventy-six".