801536960 has 56 divisors (see below), whose sum is σ = 2181331680. Its totient is φ = 274811904.

The previous prime is 801536951. The next prime is 801536969. The reversal of 801536960 is 69635108.

It is an interprime number because it is at equal distance from previous prime (801536951) and next prime (801536969).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×801536960² = 1284922996492083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801536969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 176675 + ... + 181154.

Almost surely, 2^801536960 is an apocalyptic number.

801536960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801536960 is an abundant number, since it is smaller than the sum of its proper divisors (1379794720).

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

801536960 is a wasteful number, since it uses less digits than its factorization.

801536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357853 (or 357843 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 801536960 is about 28311.4280812537. The cubic root of 801536960 is about 928.9118811118.

The spelling of 801536960 in words is "eight hundred one million, five hundred thirty-six thousand, nine hundred sixty".