834691680 has 144 divisors (see below), whose sum is σ = 2869854624. Its totient is φ = 220907520.

The previous prime is 834691651. The next prime is 834691681. The reversal of 834691680 is 86196438.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×834691680² = 1393420401322444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834691681) 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, 195165 + ... + 199395.

It is an arithmetic number, because the mean of its divisors is an integer number (19929546).

Almost surely, 2^834691680 is an apocalyptic number.

834691680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434927312).

834691680 is an abundant number, since it is smaller than the sum of its proper divisors (2035162944).

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

834691680 is a wasteful number, since it uses less digits than its factorization.

834691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 834691680 is about 28891.0311342465. The cubic root of 834691680 is about 941.5470525838.

The spelling of 834691680 in words is "eight hundred thirty-four million, six hundred ninety-one thousand, six hundred eighty".