749664400 has 75 divisors (see below), whose sum is σ = 1851098381. Its totient is φ = 291761280.

The previous prime is 749664389. The next prime is 749664431. The reversal of 749664400 is 4466947.

The square root of 749664400 is 27380.

It is a perfect power (a square), and thus also a powerful number.

749664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 219024 + 749445376 = 468^2 + 27376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20261182 + ... + 20261218.

Almost surely, 2^749664400 is an apocalyptic number.

749664400 is the 27380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749664400

749664400 is an abundant number, since it is smaller than the sum of its proper divisors (1101433981).

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

749664400 is an frugal number, since it uses more digits than its factorization.

749664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The cubic root of 749664400 is about 908.4247593822.

The spelling of 749664400 in words is "seven hundred forty-nine million, six hundred sixty-four thousand, four hundred".