742787280 has 160 divisors (see below), whose sum is σ = 2641259520. Its totient is φ = 191669760.

The previous prime is 742787261. The next prime is 742787291. The reversal of 742787280 is 82787247.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61414 + ... + 72506.

It is an arithmetic number, because the mean of its divisors is an integer number (16507872).

Almost surely, 2^742787280 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 742787280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320629760).

742787280 is an abundant number, since it is smaller than the sum of its proper divisors (1898472240).

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

742787280 is a wasteful number, since it uses less digits than its factorization.

742787280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11146 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 742787280 is about 27254.1240915939. The cubic root of 742787280 is about 905.6383803089.

The spelling of 742787280 in words is "seven hundred forty-two million, seven hundred eighty-seven thousand, two hundred eighty".