748110400 has 84 divisors (see below), whose sum is σ = 1890720628. Its totient is φ = 291133440.

The previous prime is 748110299. The next prime is 748110413. The reversal of 748110400 is 4011847.

It can be written as a sum of positive squares in 6 ways, for example, as 16516096 + 731594304 = 4064^2 + 27048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52882 + ... + 65518.

Almost surely, 2^748110400 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 748110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945360314).

748110400 is an abundant number, since it is smaller than the sum of its proper divisors (1142610228).

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

748110400 is a wasteful number, since it uses less digits than its factorization.

748110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 748110400 is about 27351.6068997783. The cubic root of 748110400 is about 907.7966255816.

The spelling of 748110400 in words is "seven hundred forty-eight million, one hundred ten thousand, four hundred".