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750 = 2353

• 750 can be written using four 4's:

See also 113.
750 has 16 divisors (see below), whose sum is σ = 1872. Its totient is φ = 200.

The previous prime is 743. The next prime is 751. The reversal of 750 is 57.

750 is nontrivially palindromic in base 4.

750 is an esthetic number in base 4 and base 7, because in such bases its adjacent digits differ by 1.

750 is an undulating number in base 4 and base 7.

It is a plaindrome in base 8, base 13 and base 16.

It is a nialpdrome in base 5, base 10 and base 11.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 750.

It is not an unprimeable number, because it can be changed into a prime (751) by changing a digit.

750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (117).

750 is the 15-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936).

750 is an abundant number, since it is smaller than the sum of its proper divisors (1122).

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

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

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

The sum of its prime factors is 20 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 750 is about 27.3861278753. The cubic root of 750 is about 9.0856029642.

The spelling of 750 in words is "seven hundred fifty", and thus it is an aban number and an oban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750