814442772 has 108 divisors (see below), whose sum is σ = 2262553440. Its totient is φ = 227747520.

The previous prime is 814442767. The next prime is 814442789. The reversal of 814442772 is 277244418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 814442772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243729 + ... + 247047.

Almost surely, 2^814442772 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 814442772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131276720).

814442772 is an abundant number, since it is smaller than the sum of its proper divisors (1448110668).

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

814442772 is a wasteful number, since it uses less digits than its factorization.

814442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3348 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 814442772 is about 28538.4437557481. The cubic root of 814442772 is about 933.8709324042.

The spelling of 814442772 in words is "eight hundred fourteen million, four hundred forty-two thousand, seven hundred seventy-two".