802492704 has 192 divisors, whose sum is σ = 2590116480. Its totient is φ = 240122880.

The previous prime is 802492697. The next prime is 802492751. The reversal of 802492704 is 407294208.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414619 + ... + 416549.

It is an arithmetic number, because the mean of its divisors is an integer number (13490190).

Almost surely, 2^802492704 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 802492704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295058240).

802492704 is an abundant number, since it is smaller than the sum of its proper divisors (1787623776).

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

802492704 is a wasteful number, since it uses less digits than its factorization.

802492704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1986 counting only the distinct ones).

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

The square root of 802492704 is about 28328.3021729153. The cubic root of 802492704 is about 929.2809426216.

The spelling of 802492704 in words is "eight hundred two million, four hundred ninety-two thousand, seven hundred four".