742193280 has 320 divisors, whose sum is σ = 2695492800. Its totient is φ = 194586624.

The previous prime is 742193267. The next prime is 742193281. The reversal of 742193280 is 82391247.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (742193281) 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 39 ways as a sum of consecutive naturals, for example, 5339451 + ... + 5339589.

It is an arithmetic number, because the mean of its divisors is an integer number (8423415).

Almost surely, 2^742193280 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 742193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347746400).

742193280 is an abundant number, since it is smaller than the sum of its proper divisors (1953299520).

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

742193280 is a wasteful number, since it uses less digits than its factorization.

742193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 742193280 is about 27243.2244787580. The cubic root of 742193280 is about 905.3969057648.

The spelling of 742193280 in words is "seven hundred forty-two million, one hundred ninety-three thousand, two hundred eighty".