748000800 has 108 divisors (see below), whose sum is σ = 2637663210. Its totient is φ = 199464960.

The previous prime is 748000793. The next prime is 748000807. The reversal of 748000800 is 8000847.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (748000793) and next prime (748000807).

It can be written as a sum of positive squares in 3 ways, for example, as 611671824 + 136328976 = 24732^2 + 11676^2 .

It is not an unprimeable number, because it can be changed into a prime (748000807) 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, 44745 + ... + 59144.

Almost surely, 2^748000800 is an apocalyptic number.

It is an amenable number.

748000800 is an abundant number, since it is smaller than the sum of its proper divisors (1889662410).

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

748000800 is a wasteful number, since it uses less digits than its factorization.

748000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103915 (or 103899 counting only the distinct ones).

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

The square root of 748000800 is about 27349.6032877993. The cubic root of 748000800 is about 907.7522919426.

The spelling of 748000800 in words is "seven hundred forty-eight million, eight hundred", and thus it is an aban number.