801282720 has 96 divisors (see below), whose sum is σ = 2884629888. Its totient is φ = 183149568.

The previous prime is 801282719. The next prime is 801282733. The reversal of 801282720 is 27282108.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115879 + ... + 122598.

It is an arithmetic number, because the mean of its divisors is an integer number (30048228).

Almost surely, 2^801282720 is an apocalyptic number.

801282720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801282720 is an abundant number, since it is smaller than the sum of its proper divisors (2083347168).

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

801282720 is a wasteful number, since it uses less digits than its factorization.

801282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238502 (or 238494 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 801282720 is about 28306.9376655264. The cubic root of 801282720 is about 928.8136566826.

The spelling of 801282720 in words is "eight hundred one million, two hundred eighty-two thousand, seven hundred twenty".