748800 has 162 divisors, whose sum is σ = 2883062. Its totient is φ = 184320.

The previous prime is 748789. The next prime is 748801. The reversal of 748800 is 8847.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 746496 = 48^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57594 + ... + 57606.

2⁷⁴⁸⁸⁰⁰ 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 748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441531).

748800 is an abundant number, since it is smaller than the sum of its proper divisors (2134262).

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

748800 is a wasteful number, since it uses less digits than its factorization.

748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 748800 is about 865.3323061114. The cubic root of 748800 is about 90.8075472260.

The spelling of 748800 in words is "seven hundred forty-eight thousand, eight hundred".