748836000 has 576 divisors, whose sum is σ = 3041805312. Its totient is φ = 172800000.

The previous prime is 748835987. The next prime is 748836041. The reversal of 748836000 is 638847.

748836000 is a `hidden beast` number, since 7 + 48 + 8 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12275970 + ... + 12276030.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2^748836000 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 748836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

748836000 is an abundant number, since it is smaller than the sum of its proper divisors (2292969312).

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

748836000 is a wasteful number, since it uses less digits than its factorization.

748836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 748836000 is about 27364.8679879878. The cubic root of 748836000 is about 908.0900245181.

The spelling of 748836000 in words is "seven hundred forty-eight million, eight hundred thirty-six thousand".