801272960 has 64 divisors (see below), whose sum is σ = 1922530680. Its totient is φ = 319340544.

The previous prime is 801272933. The next prime is 801272971. The reversal of 801272960 is 69272108.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 728136256 + 73136704 = 26984^2 + 8552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 801272960.

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 7 ways as a sum of consecutive naturals, for example, 185384 + ... + 189656.

Almost surely, 2^801272960 is an apocalyptic number.

801272960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961265340).

801272960 is an abundant number, since it is smaller than the sum of its proper divisors (1121257720).

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

801272960 is a wasteful number, since it uses less digits than its factorization.

801272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 801272960 is about 28306.7652691013. The cubic root of 801272960 is about 928.8098855384.

The spelling of 801272960 in words is "eight hundred one million, two hundred seventy-two thousand, nine hundred sixty".