750990240 has 576 divisors, whose sum is σ = 3447505152. Its totient is φ = 143769600.

The previous prime is 750990223. The next prime is 750990241. The reversal of 750990240 is 42099057.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 750990195 and 750990204.

It is not an unprimeable number, because it can be changed into a prime (750990241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441180 + ... + 1441700.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2^750990240 is an apocalyptic number.

750990240 is a gapful number since it is divisible by the number (70) 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 750990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723752576).

750990240 is an abundant number, since it is smaller than the sum of its proper divisors (2696514912).

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

750990240 is a wasteful number, since it uses less digits than its factorization.

750990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 750990240 is about 27404.2011377818. The cubic root of 750990240 is about 908.9599840060.

The spelling of 750990240 in words is "seven hundred fifty million, nine hundred ninety thousand, two hundred forty".