802916352 has 288 divisors, whose sum is σ = 2725632000. Its totient is φ = 227598336.

The previous prime is 802916347. The next prime is 802916357. The reversal of 802916352 is 253619208.

It is an interprime number because it is at equal distance from previous prime (802916347) and next prime (802916357).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (802916357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6322113 + ... + 6322239.

It is an arithmetic number, because the mean of its divisors is an integer number (9464000).

Almost surely, 2^802916352 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 802916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362816000).

802916352 is an abundant number, since it is smaller than the sum of its proper divisors (1922715648).

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

802916352 is a wasteful number, since it uses less digits than its factorization.

802916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 802916352 is about 28335.7786552620. The cubic root of 802916352 is about 929.4444409950. Note that the first 5 decimals are identical.

The spelling of 802916352 in words is "eight hundred two million, nine hundred sixteen thousand, three hundred fifty-two".