834075840 has 336 divisors, whose sum is σ = 2951792928. Its totient is φ = 199360512.

The previous prime is 834075839. The next prime is 834075901. The reversal of 834075840 is 48570438.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 8598672 + ... + 8598768.

It is an arithmetic number, because the mean of its divisors is an integer number (8785098).

Almost surely, 2^834075840 is an apocalyptic number.

834075840 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 834075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475896464).

834075840 is an abundant number, since it is smaller than the sum of its proper divisors (2117717088).

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

834075840 is a wasteful number, since it uses less digits than its factorization.

834075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 834075840 is about 28880.3711887503. The cubic root of 834075840 is about 941.3154361228.

The spelling of 834075840 in words is "eight hundred thirty-four million, seventy-five thousand, eight hundred forty".