745920000 has 600 divisors, whose sum is σ = 3157501776. Its totient is φ = 165888000.

The previous prime is 745919981. The next prime is 745920023. The reversal of 745920000 is 29547.

745920000 is a `hidden beast` number, since 7 + 459 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159982 + ... + 20160018.

Almost surely, 2^745920000 is an apocalyptic number.

745920000 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 745920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578750888).

745920000 is an abundant number, since it is smaller than the sum of its proper divisors (2411581776).

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

745920000 is an equidigital number, since it uses as much as digits as its factorization.

745920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 745920000 is about 27311.5360241785. The cubic root of 745920000 is about 906.9097771757.

Adding to 745920000 its reverse (29547), we get a palindrome (745949547).

The spelling of 745920000 in words is "seven hundred forty-five million, nine hundred twenty thousand".