212807808 has 192 divisors, whose sum is σ = 649209600. Its totient is φ = 66816000.

The previous prime is 212807789. The next prime is 212807827. The reversal of 212807808 is 808708212.

It is an interprime number because it is at equal distance from previous prime (212807789) and next prime (212807827).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106958 + ... + 2107058.

It is an arithmetic number, because the mean of its divisors is an integer number (3381300).

Almost surely, 2^212807808 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 212807808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

212807808 is an abundant number, since it is smaller than the sum of its proper divisors (436401792).

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

212807808 is a wasteful number, since it uses less digits than its factorization.

212807808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 212807808 is about 14587.9336439401. The cubic root of 212807808 is about 597.0295853288.

The spelling of 212807808 in words is "two hundred twelve million, eight hundred seven thousand, eight hundred eight".