745929600 has 384 divisors, whose sum is σ = 2726908800. Its totient is φ = 178053120.

The previous prime is 745929599. The next prime is 745929601. The reversal of 745929600 is 6929547.

It is an interprime number because it is at equal distance from previous prime (745929599) and next prime (745929601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745929601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366331 + ... + 5366469.

It is an arithmetic number, because the mean of its divisors is an integer number (7101325).

Almost surely, 2^745929600 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 745929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363454400).

745929600 is an abundant number, since it is smaller than the sum of its proper divisors (1980979200).

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

745929600 is a wasteful number, since it uses less digits than its factorization.

745929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 745929600 is about 27311.7117735231. The cubic root of 745929600 is about 906.9136678058.

The spelling of 745929600 in words is "seven hundred forty-five million, nine hundred twenty-nine thousand, six hundred".