747993600 has 360 divisors, whose sum is σ = 2757255072. Its totient is φ = 193536000.

The previous prime is 747993599. The next prime is 747993601. The reversal of 747993600 is 6399747.

It is an interprime number because it is at equal distance from previous prime (747993599) and next prime (747993601).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747993601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4953525 + ... + 4953675.

Almost surely, 2^747993600 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 747993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378627536).

747993600 is an abundant number, since it is smaller than the sum of its proper divisors (2009261472).

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

747993600 is a wasteful number, since it uses less digits than its factorization.

747993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 747993600 is about 27349.4716585165. The cubic root of 747993600 is about 907.7493793622.

The spelling of 747993600 in words is "seven hundred forty-seven million, nine hundred ninety-three thousand, six hundred".