742280 has 64 divisors (see below), whose sum is σ = 2090880. Its totient is φ = 230400.

The previous prime is 742277. The next prime is 742283. The reversal of 742280 is 82247.

It is an interprime number because it is at equal distance from previous prime (742277) and next prime (742283).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (742283) 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, 2960 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁷⁴²²⁸⁰ is an apocalyptic number.

742280 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 742280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440).

742280 is an abundant number, since it is smaller than the sum of its proper divisors (1348600).

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

742280 is a wasteful number, since it uses less digits than its factorization.

742280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 742280 is about 861.5567305755. The cubic root of 742280 is about 90.5432167452.

The spelling of 742280 in words is "seven hundred forty-two thousand, two hundred eighty".