75834840 has 64 divisors (see below), whose sum is σ = 229793760. Its totient is φ = 20019200.

The previous prime is 75834827. The next prime is 75834893. The reversal of 75834840 is 4843857.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8992 + ... + 15248.

Almost surely, 2^75834840 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 75834840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114896880).

75834840 is an abundant number, since it is smaller than the sum of its proper divisors (153958920).

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

75834840 is a wasteful number, since it uses less digits than its factorization.

75834840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6368 counting only the distinct ones).

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

The square root of 75834840 is about 8708.3201594797. The cubic root of 75834840 is about 423.2752987728.

The spelling of 75834840 in words is "seventy-five million, eight hundred thirty-four thousand, eight hundred forty".