745660800 has 288 divisors, whose sum is σ = 2819049480. Its totient is φ = 187023360.

The previous prime is 745660793. The next prime is 745660823. The reversal of 745660800 is 8066547.

It is a happy number.

745660800 is a `hidden beast` number, since 7 + 45 + 6 + 608 + 0 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488839 + ... + 490361.

Almost surely, 2^745660800 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 745660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409524740).

745660800 is an abundant number, since it is smaller than the sum of its proper divisors (2073388680).

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

745660800 is a wasteful number, since it uses less digits than its factorization.

745660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 745660800 is about 27306.7903643032. The cubic root of 745660800 is about 906.8047175411.

The spelling of 745660800 in words is "seven hundred forty-five million, six hundred sixty thousand, eight hundred".