754668090 has 128 divisors (see below), whose sum is σ = 2223210240. Its totient is φ = 182891520.

The previous prime is 754668067. The next prime is 754668107. The reversal of 754668090 is 90866457.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239002 + ... + 242138.

It is an arithmetic number, because the mean of its divisors is an integer number (17368830).

Almost surely, 2^754668090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 754668090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111605120).

754668090 is an abundant number, since it is smaller than the sum of its proper divisors (1468542150).

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

754668090 is a wasteful number, since it uses less digits than its factorization.

754668090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 754668090 is about 27471.2229432910. Note that the first 3 decimals coincide. The cubic root of 754668090 is about 910.4413951733.

The spelling of 754668090 in words is "seven hundred fifty-four million, six hundred sixty-eight thousand, ninety".