834140772 has 72 divisors (see below), whose sum is σ = 2160342912. Its totient is φ = 271252800.

The previous prime is 834140771. The next prime is 834140773. The reversal of 834140772 is 277041438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (834140771) and next prime (834140773).

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

It is not an unprimeable number, because it can be changed into a prime (834140771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711747 + ... + 712917.

Almost surely, 2^834140772 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 834140772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080171456).

834140772 is an abundant number, since it is smaller than the sum of its proper divisors (1326202140).

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

834140772 is a wasteful number, since it uses less digits than its factorization.

834140772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1644 counting only the distinct ones).

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

The square root of 834140772 is about 28881.4953213991. The cubic root of 834140772 is about 941.3398623220.

The spelling of 834140772 in words is "eight hundred thirty-four million, one hundred forty thousand, seven hundred seventy-two".