834800640 has 352 divisors, whose sum is σ = 2971261440. Its totient is φ = 198967296.

The previous prime is 834800633. The next prime is 834800647. The reversal of 834800640 is 46008438.

It is an interprime number because it is at equal distance from previous prime (834800633) and next prime (834800647).

It is not an unprimeable number, because it can be changed into a prime (834800647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6005691 + ... + 6005829.

Almost surely, 2^834800640 is an apocalyptic number.

834800640 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 834800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485630720).

834800640 is an abundant number, since it is smaller than the sum of its proper divisors (2136460800).

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

834800640 is a wasteful number, since it uses less digits than its factorization.

834800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 834800640 is about 28892.9167790308. The cubic root of 834800640 is about 941.5880204068.

The spelling of 834800640 in words is "eight hundred thirty-four million, eight hundred thousand, six hundred forty".