748426800 has 360 divisors, whose sum is σ = 2748306240. Its totient is φ = 172608000.

The previous prime is 748426799. The next prime is 748426807. The reversal of 748426800 is 8624847.

It is not an unprimeable number, because it can be changed into a prime (748426807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12685171 + ... + 12685229.

It is an arithmetic number, because the mean of its divisors is an integer number (7634184).

Almost surely, 2^748426800 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 748426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374153120).

748426800 is an abundant number, since it is smaller than the sum of its proper divisors (1999879440).

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

748426800 is a wasteful number, since it uses less digits than its factorization.

748426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 748426800 is about 27357.3902264087. The cubic root of 748426800 is about 907.9245863609.

The spelling of 748426800 in words is "seven hundred forty-eight million, four hundred twenty-six thousand, eight hundred".