748933120 has 208 divisors, whose sum is σ = 2022849360. Its totient is φ = 264241152.

The previous prime is 748933093. The next prime is 748933121. The reversal of 748933120 is 21339847.

It can be written as a sum of positive squares in 8 ways, for example, as 57032704 + 691900416 = 7552^2 + 26304^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-3 number, since 3×748933120³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 748933120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748933121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7720912 + ... + 7721008.

Almost surely, 2^748933120 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 748933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011424680).

748933120 is an abundant number, since it is smaller than the sum of its proper divisors (1273916240).

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

748933120 is a wasteful number, since it uses less digits than its factorization.

748933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 748933120 is about 27366.6424685236. The cubic root of 748933120 is about 908.1292809511.

The spelling of 748933120 in words is "seven hundred forty-eight million, nine hundred thirty-three thousand, one hundred twenty".