745584000 has 384 divisors, whose sum is σ = 2884209120. Its totient is φ = 169881600.

The previous prime is 745583987. The next prime is 745584013. The reversal of 745584000 is 485547.

It is an interprime number because it is at equal distance from previous prime (745583987) and next prime (745584013).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 2351842 + ... + 2352158.

Almost surely, 2^745584000 is an apocalyptic number.

745584000 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 745584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442104560).

745584000 is an abundant number, since it is smaller than the sum of its proper divisors (2138625120).

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

745584000 is a wasteful number, since it uses less digits than its factorization.

745584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 745584000 is about 27305.3840844622. The cubic root of 745584000 is about 906.7735840850.

The spelling of 745584000 in words is "seven hundred forty-five million, five hundred eighty-four thousand".