748320205400 has 96 divisors (see below), whose sum is σ = 1759359268800. Its totient is φ = 295987920000.

The previous prime is 748320205351. The next prime is 748320205403. The reversal of 748320205400 is 4502023847.

748320205400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748320205403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6924179 + ... + 7031421.

It is an arithmetic number, because the mean of its divisors is an integer number (18326659050).

Almost surely, 2^748320205400 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 748320205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879679634400).

748320205400 is an abundant number, since it is smaller than the sum of its proper divisors (1011039063400).

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

748320205400 is a wasteful number, since it uses less digits than its factorization.

748320205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107649 (or 107640 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 748320205400 in words is "seven hundred forty-eight billion, three hundred twenty million, two hundred five thousand, four hundred".