801277440 has 160 divisors (see below), whose sum is σ = 2589450336. Its totient is φ = 211353600.

The previous prime is 801277397. The next prime is 801277457. The reversal of 801277440 is 44772108.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775164 + ... + 776196.

Almost surely, 2^801277440 is an apocalyptic number.

801277440 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 801277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294725168).

801277440 is an abundant number, since it is smaller than the sum of its proper divisors (1788172896).

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

801277440 is a wasteful number, since it uses less digits than its factorization.

801277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 801277440 is about 28306.8444020170. The cubic root of 801277440 is about 928.8116165593.

The spelling of 801277440 in words is "eight hundred one million, two hundred seventy-seven thousand, four hundred forty".