745754400 has 108 divisors (see below), whose sum is σ = 2629741842. Its totient is φ = 198865920.

The previous prime is 745754381. The next prime is 745754413. The reversal of 745754400 is 4457547.

It can be written as a sum of positive squares in 3 ways, for example, as 666259344 + 79495056 = 25812^2 + 8916^2 .

It is a super-3 number, since 3×745754400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 17 ways as a sum of consecutive naturals, for example, 44589 + ... + 58988.

Almost surely, 2^745754400 is an apocalyptic number.

It is an amenable number.

745754400 is an abundant number, since it is smaller than the sum of its proper divisors (1883987442).

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

745754400 is a wasteful number, since it uses less digits than its factorization.

745754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103603 (or 103587 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 745754400 is about 27308.5041699468. The cubic root of 745754400 is about 906.8426585506.

The spelling of 745754400 in words is "seven hundred forty-five million, seven hundred fifty-four thousand, four hundred".