834346800 has 360 divisors, whose sum is σ = 3349723104. Its totient is φ = 188375040.

The previous prime is 834346783. The next prime is 834346813. The reversal of 834346800 is 8643438.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×834346800² = 1392269165340480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2847454 + ... + 2847746.

Almost surely, 2^834346800 is an apocalyptic number.

834346800 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 834346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674861552).

834346800 is an abundant number, since it is smaller than the sum of its proper divisors (2515376304).

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

834346800 is a wasteful number, since it uses less digits than its factorization.

834346800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 834346800 is about 28885.0618832642. The cubic root of 834346800 is about 941.4173577961.

The spelling of 834346800 in words is "eight hundred thirty-four million, three hundred forty-six thousand, eight hundred".