742945280 has 160 divisors (see below), whose sum is σ = 2221464960. Its totient is φ = 231505920.

The previous prime is 742945279. The next prime is 742945289. The reversal of 742945280 is 82549247.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (742945289) 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, 195236 + ... + 199004.

It is an arithmetic number, because the mean of its divisors is an integer number (13884156).

Almost surely, 2^742945280 is an apocalyptic number.

742945280 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 742945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110732480).

742945280 is an abundant number, since it is smaller than the sum of its proper divisors (1478519680).

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

742945280 is a wasteful number, since it uses less digits than its factorization.

742945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 742945280 is about 27257.0225813459. The cubic root of 742945280 is about 905.7025892345.

The spelling of 742945280 in words is "seven hundred forty-two million, nine hundred forty-five thousand, two hundred eighty".