801616960 has 56 divisors (see below), whose sum is σ = 1949500800. Its totient is φ = 313818624.

The previous prime is 801616957. The next prime is 801616961. The reversal of 801616960 is 69616108.

801616960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (801616961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11610 + ... + 41689.

Almost surely, 2^801616960 is an apocalyptic number.

801616960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801616960 is an abundant number, since it is smaller than the sum of its proper divisors (1147883840).

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

801616960 is a wasteful number, since it uses less digits than its factorization.

801616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53363 (or 53353 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 801616960 is about 28312.8409030249. The cubic root of 801616960 is about 928.9427844396.

It can be divided in two parts, 8016 and 16960, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 801616960 in words is "eight hundred one million, six hundred sixteen thousand, nine hundred sixty".