748800667 has 8 divisors (see below), whose sum is σ = 771101936. Its totient is φ = 726721632.

The previous prime is 748800653. The next prime is 748800707. The reversal of 748800667 is 766008847.

748800667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 748800667 - 2⁷ = 748800539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (748800067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48708 + ... + 62209.

It is an arithmetic number, because the mean of its divisors is an integer number (96387742).

Almost surely, 2^748800667 is an apocalyptic number.

748800667 is a deficient number, since it is larger than the sum of its proper divisors (22301269).

748800667 is a wasteful number, since it uses less digits than its factorization.

748800667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111117.

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 748800667 is about 27364.2223898287. Note that the first 3 decimals coincide. The cubic root of 748800667 is about 908.0757418850.

The spelling of 748800667 in words is "seven hundred forty-eight million, eight hundred thousand, six hundred sixty-seven".