748926000 has 480 divisors, whose sum is σ = 2872816128. Its totient is φ = 188179200.

The previous prime is 748925941. The next prime is 748926043. The reversal of 748926000 is 629847.

748926000 is a `hidden beast` number, since 7 + 48 + 9 + 2 + 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177967 + ... + 11178033.

Almost surely, 2^748926000 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 748926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436408064).

748926000 is an abundant number, since it is smaller than the sum of its proper divisors (2123890128).

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

748926000 is a wasteful number, since it uses less digits than its factorization.

748926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 748926000 is about 27366.5123828375. The cubic root of 748926000 is about 908.1264031236.

It can be divided in two parts, 7489 and 26000, that added together give a square (33489 = 183²).

The spelling of 748926000 in words is "seven hundred forty-eight million, nine hundred twenty-six thousand".