834401772 has 18 divisors (see below), whose sum is σ = 2109182348. Its totient is φ = 278133912.

The previous prime is 834401761. The next prime is 834401779. The reversal of 834401772 is 277104438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 23177827 = 834401772 / (8 + 3 + 4 + 4 + 0 + 1 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (834401779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11588878 + ... + 11588949.

Almost surely, 2^834401772 is an apocalyptic number.

It is an amenable number.

834401772 is an abundant number, since it is smaller than the sum of its proper divisors (1274780576).

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

834401772 is a wasteful number, since it uses less digits than its factorization.

834401772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23177837 (or 23177832 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 834401772 is about 28886.0134321093. The cubic root of 834401772 is about 941.4380328353.

The spelling of 834401772 in words is "eight hundred thirty-four million, four hundred one thousand, seven hundred seventy-two".