834953680 has 80 divisors (see below), whose sum is σ = 2122257024. Its totient is φ = 302973440.

The previous prime is 834953671. The next prime is 834953699. The reversal of 834953680 is 86359438.

834953680 is a nontrivial binomial coefficient, being equal to C(40865, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 834953680.

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, 653202 + ... + 654478.

Almost surely, 2^834953680 is an apocalyptic number.

834953680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

834953680 is the 40864-th triangular number.

834953680 is the 13622-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061128512).

834953680 is an abundant number, since it is smaller than the sum of its proper divisors (1287303344).

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

834953680 is a wasteful number, since it uses less digits than its factorization.

834953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 834953680 is about 28895.5650576347. The cubic root of 834953680 is about 941.6455558306.

The spelling of 834953680 in words is "eight hundred thirty-four million, nine hundred fifty-three thousand, six hundred eighty".