745626880 has 288 divisors, whose sum is σ = 2072125440. Its totient is φ = 255467520.

The previous prime is 745626863. The next prime is 745626881. The reversal of 745626880 is 88626547.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 745626880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745626881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17340139 + ... + 17340181.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^745626880 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 745626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036062720).

745626880 is an abundant number, since it is smaller than the sum of its proper divisors (1326498560).

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

745626880 is a wasteful number, since it uses less digits than its factorization.

745626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 745626880 is about 27306.1692663032. The cubic root of 745626880 is about 906.7909671949.

The spelling of 745626880 in words is "seven hundred forty-five million, six hundred twenty-six thousand, eight hundred eighty".