748656000 has 256 divisors, whose sum is σ = 2759140800. Its totient is φ = 199526400.

The previous prime is 748655987. The next prime is 748656019. The reversal of 748656000 is 656847.

It is a happy number.

748656000 is a `hidden beast` number, since 7 + 48 + 6 + 5 + 600 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 431134 + ... + 432866.

Almost surely, 2^748656000 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 748656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379570400).

748656000 is an abundant number, since it is smaller than the sum of its proper divisors (2010484800).

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

748656000 is a wasteful number, since it uses less digits than its factorization.

748656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1743 counting only the distinct ones).

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

The square root of 748656000 is about 27361.5789018105. The cubic root of 748656000 is about 908.0172585618.

The spelling of 748656000 in words is "seven hundred forty-eight million, six hundred fifty-six thousand".