748984000 has 112 divisors (see below), whose sum is σ = 1867241376. Its totient is φ = 297600000.

The previous prime is 748983997. The next prime is 748984021. The reversal of 748984000 is 489847.

748984000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007814 + ... + 2008186.

It is an arithmetic number, because the mean of its divisors is an integer number (16671798).

Almost surely, 2^748984000 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 748984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933620688).

748984000 is an abundant number, since it is smaller than the sum of its proper divisors (1118257376).

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

748984000 is a wasteful number, since it uses less digits than its factorization.

748984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 748984000 is about 27367.5720516088. The cubic root of 748984000 is about 908.1498455695.

The spelling of 748984000 in words is "seven hundred forty-eight million, nine hundred eighty-four thousand".