749907360 has 288 divisors, whose sum is σ = 2683279872. Its totient is φ = 190494720.

The previous prime is 749907359. The next prime is 749907377. The reversal of 749907360 is 63709947.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×749907360² = 1124722097164339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4776402 + ... + 4776558.

It is an arithmetic number, because the mean of its divisors is an integer number (9316944).

Almost surely, 2^749907360 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 749907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341639936).

749907360 is an abundant number, since it is smaller than the sum of its proper divisors (1933372512).

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

749907360 is a wasteful number, since it uses less digits than its factorization.

749907360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

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

The square root of 749907360 is about 27384.4364557681. The cubic root of 749907360 is about 908.5228864198.

The spelling of 749907360 in words is "seven hundred forty-nine million, nine hundred seven thousand, three hundred sixty".