749347200 has 720 divisors, whose sum is σ = 3271247100. Its totient is φ = 168376320.

The previous prime is 749347189. The next prime is 749347219. The reversal of 749347200 is 2743947.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×749347200² = 1123042452295680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700771 + ... + 12700829.

Almost surely, 2^749347200 is an apocalyptic number.

749347200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635623550).

749347200 is an abundant number, since it is smaller than the sum of its proper divisors (2521899900).

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

749347200 is a wasteful number, since it uses less digits than its factorization.

749347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

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

The square root of 749347200 is about 27374.2068378245. The cubic root of 749347200 is about 908.2966162715.

The spelling of 749347200 in words is "seven hundred forty-nine million, three hundred forty-seven thousand, two hundred".