748208160 has 288 divisors, whose sum is σ = 2940537600. Its totient is φ = 169703424.

The previous prime is 748208107. The next prime is 748208161. The reversal of 748208160 is 61802847.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748208161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005734 + ... + 2006106.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2^748208160 is an apocalyptic number.

748208160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

748208160 is an abundant number, since it is smaller than the sum of its proper divisors (2192329440).

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

748208160 is a wasteful number, since it uses less digits than its factorization.

748208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 748208160 is about 27353.3939393268. The cubic root of 748208160 is about 907.8361662398.

The spelling of 748208160 in words is "seven hundred forty-eight million, two hundred eight thousand, one hundred sixty".