750218040 has 576 divisors, whose sum is σ = 3083184000. Its totient is φ = 156349440.

The previous prime is 750218039. The next prime is 750218047. The reversal of 750218040 is 40812057.

750218040 = 275² + 276² + ... + 1314².

It is a junction number, because it is equal to n+sod(n) for n = 750217995 and 750218013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750218047) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 12715531 + ... + 12715589.

It is an arithmetic number, because the mean of its divisors is an integer number (5352750).

Almost surely, 2^750218040 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 750218040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541592000).

750218040 is an abundant number, since it is smaller than the sum of its proper divisors (2332965960).

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

750218040 is a wasteful number, since it uses less digits than its factorization.

750218040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 750218040 is about 27390.1084335203. The cubic root of 750218040 is about 908.6483334350.

The spelling of 750218040 in words is "seven hundred fifty million, two hundred eighteen thousand, forty".