742960 has 40 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 288000.

The previous prime is 742949. The next prime is 742967. The reversal of 742960 is 69247.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (742967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2835 + ... + 3085.

2⁷⁴²⁹⁶⁰ 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 742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

742960 is an abundant number, since it is smaller than the sum of its proper divisors (1038176).

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

742960 is a wasteful number, since it uses less digits than its factorization.

742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 742960 is about 861.9512747250. The cubic root of 742960 is about 90.5708570767.

Subtracting from 742960 its product of nonzero digits (3024), we obtain a triangular number (739936 = T₁₂₁₆).

The spelling of 742960 in words is "seven hundred forty-two thousand, nine hundred sixty".