749732400 has 360 divisors, whose sum is σ = 2791435920. Its totient is φ = 185794560.

The previous prime is 749732387. The next prime is 749732413. The reversal of 749732400 is 4237947.

It is an interprime number because it is at equal distance from previous prime (749732387) and next prime (749732413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6634744 + ... + 6634856.

Almost surely, 2^749732400 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 749732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395717960).

749732400 is an abundant number, since it is smaller than the sum of its proper divisors (2041703520).

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

749732400 is a wasteful number, since it uses less digits than its factorization.

749732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 749732400 is about 27381.2417541645. The cubic root of 749732400 is about 908.4522254572.

The spelling of 749732400 in words is "seven hundred forty-nine million, seven hundred thirty-two thousand, four hundred".