801085152 has 96 divisors (see below), whose sum is σ = 2544659712. Its totient is φ = 215414784.

The previous prime is 801085111. The next prime is 801085171. The reversal of 801085152 is 251580108.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23638 + ... + 46485.

It is an arithmetic number, because the mean of its divisors is an integer number (26506872).

Almost surely, 2^801085152 is an apocalyptic number.

It is an amenable number.

801085152 is an abundant number, since it is smaller than the sum of its proper divisors (1743574560).

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

801085152 is a wasteful number, since it uses less digits than its factorization.

801085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70160 (or 70152 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 801085152 is about 28303.4477051825. The cubic root of 801085152 is about 928.7373128671.

The spelling of 801085152 in words is "eight hundred one million, eighty-five thousand, one hundred fifty-two".