748222560 has 144 divisors (see below), whose sum is σ = 2560862304. Its totient is φ = 198936576.

The previous prime is 748222537. The next prime is 748222561. The reversal of 748222560 is 65222847.

748222560 is a `hidden beast` number, since 74 + 8 + 2 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (748222561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 723804 + ... + 724836.

It is an arithmetic number, because the mean of its divisors is an integer number (17783766).

Almost surely, 2^748222560 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 748222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280431152).

748222560 is an abundant number, since it is smaller than the sum of its proper divisors (1812639744).

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

748222560 is a wasteful number, since it uses less digits than its factorization.

748222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 748222560 is about 27353.6571595098. The cubic root of 748222560 is about 907.8419902683.

The spelling of 748222560 in words is "seven hundred forty-eight million, two hundred twenty-two thousand, five hundred sixty".