834761400 has 192 divisors, whose sum is σ = 2860531200. Its totient is φ = 199680000.

The previous prime is 834761399. The next prime is 834761437. The reversal of 834761400 is 4167438.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520600 + ... + 522200.

It is an arithmetic number, because the mean of its divisors is an integer number (14898600).

Almost surely, 2^834761400 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 834761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430265600).

834761400 is an abundant number, since it is smaller than the sum of its proper divisors (2025769800).

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

834761400 is a wasteful number, since it uses less digits than its factorization.

834761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 834761400 is about 28892.2377118838. The cubic root of 834761400 is about 941.5732669871.

The spelling of 834761400 in words is "eight hundred thirty-four million, seven hundred sixty-one thousand, four hundred".