802261152 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 201139200.

The previous prime is 802261139. The next prime is 802261169. The reversal of 802261152 is 251162208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2062174 + ... + 2062562.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^802261152 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 802261152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

802261152 is an abundant number, since it is smaller than the sum of its proper divisors (2216900448).

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

802261152 is a wasteful number, since it uses less digits than its factorization.

802261152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 802261152 is about 28324.2149405769. The cubic root of 802261152 is about 929.1915554912.

The spelling of 802261152 in words is "eight hundred two million, two hundred sixty-one thousand, one hundred fifty-two".