801709272 has 128 divisors (see below), whose sum is σ = 2740953600. Its totient is φ = 211434624.

The previous prime is 801709267. The next prime is 801709277. The reversal of 801709272 is 272907108.

It is an interprime number because it is at equal distance from previous prime (801709267) and next prime (801709277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801709277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (21413700).

Almost surely, 2^801709272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801709272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370476800).

801709272 is an abundant number, since it is smaller than the sum of its proper divisors (1939244328).

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

801709272 is a wasteful number, since it uses less digits than its factorization.

801709272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40822 (or 40812 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 801709272 is about 28314.4710704615. The cubic root of 801709272 is about 928.9784412346.

The spelling of 801709272 in words is "eight hundred one million, seven hundred nine thousand, two hundred seventy-two".