808216272 has 80 divisors (see below), whose sum is σ = 2376514560. Its totient is φ = 262828800.

The previous prime is 808216259. The next prime is 808216301. The reversal of 808216272 is 272612808.

It is a happy number.

808216272 is a `hidden beast` number, since 8 + 0 + 8 + 21 + 627 + 2 = 666.

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

It is a congruent number.

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, 5104 + ... + 40527.

It is an arithmetic number, because the mean of its divisors is an integer number (29706432).

Almost surely, 2^808216272 is an apocalyptic number.

808216272 is a gapful number since it is divisible by the number (82) 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 808216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188257280).

808216272 is an abundant number, since it is smaller than the sum of its proper divisors (1568298288).

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

808216272 is a wasteful number, since it uses less digits than its factorization.

808216272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45689 (or 45677 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 808216272 is about 28429.1447637807. The cubic root of 808216272 is about 931.4849948703.

The spelling of 808216272 in words is "eight hundred eight million, two hundred sixteen thousand, two hundred seventy-two".