75090834 has 192 divisors, whose sum is σ = 218332800. Its totient is φ = 18942336.

The previous prime is 75090833. The next prime is 75090881. The reversal of 75090834 is 43809057.

It is not an unprimeable number, because it can be changed into a prime (75090833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272697 + ... + 1272755.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 2^75090834 is an apocalyptic number.

75090834 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75090834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

75090834 is an abundant number, since it is smaller than the sum of its proper divisors (143241966).

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

75090834 is a wasteful number, since it uses less digits than its factorization.

75090834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75090834 is about 8665.4967543702. The cubic root of 75090834 is about 421.8865136611.

The spelling of 75090834 in words is "seventy-five million, ninety thousand, eight hundred thirty-four".