745718400 has 576 divisors, whose sum is σ = 3176671680. Its totient is φ = 169205760.

The previous prime is 745718357. The next prime is 745718411. The reversal of 745718400 is 4817547.

745718400 is a `hidden beast` number, since 7 + 4 + 571 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443132 + ... + 5443268.

It is an arithmetic number, because the mean of its divisors is an integer number (5515055).

Almost surely, 2^745718400 is an apocalyptic number.

745718400 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 745718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588335840).

745718400 is an abundant number, since it is smaller than the sum of its proper divisors (2430953280).

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

745718400 is a wasteful number, since it uses less digits than its factorization.

745718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 745718400 is about 27307.8450266585. The cubic root of 745718400 is about 906.8280662304.

The spelling of 745718400 in words is "seven hundred forty-five million, seven hundred eighteen thousand, four hundred".