745915800 has 384 divisors, whose sum is σ = 2896957440. Its totient is φ = 154828800.

The previous prime is 745915789. The next prime is 745915801. The reversal of 745915800 is 8519547.

745915800 = 6616² + 6617² + ... + 6632².

745915800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745915801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2213232 + ... + 2213568.

It is an arithmetic number, because the mean of its divisors is an integer number (7544160).

Almost surely, 2^745915800 is an apocalyptic number.

745915800 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 745915800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448478720).

745915800 is an abundant number, since it is smaller than the sum of its proper divisors (2151041640).

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

745915800 is a wasteful number, since it uses less digits than its factorization.

745915800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 745915800 is about 27311.4591334846. The cubic root of 745915800 is about 906.9080750145.

The spelling of 745915800 in words is "seven hundred forty-five million, nine hundred fifteen thousand, eight hundred".