75983490 has 192 divisors, whose sum is σ = 232906752. Its totient is φ = 17001600.

The previous prime is 75983471. The next prime is 75983507. The reversal of 75983490 is 9438957.

75983490 is a `hidden beast` number, since 75 + 98 + 3 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1070155 + ... + 1070225.

It is an arithmetic number, because the mean of its divisors is an integer number (1213056).

Almost surely, 2^75983490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75983490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116453376).

75983490 is an abundant number, since it is smaller than the sum of its proper divisors (156923262).

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

75983490 is a wasteful number, since it uses less digits than its factorization.

75983490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 75983490 is about 8716.8509222081. The cubic root of 75983490 is about 423.5516836395.

The spelling of 75983490 in words is "seventy-five million, nine hundred eighty-three thousand, four hundred ninety".