742182880 has 96 divisors (see below), whose sum is σ = 1802787840. Its totient is φ = 288637440.

The previous prime is 742182869. The next prime is 742182887. The reversal of 742182880 is 88281247.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742182887) 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, 897027 + ... + 897853.

It is an arithmetic number, because the mean of its divisors is an integer number (18779040).

Almost surely, 2^742182880 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 742182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901393920).

742182880 is an abundant number, since it is smaller than the sum of its proper divisors (1060604960).

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

742182880 is a wasteful number, since it uses less digits than its factorization.

742182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 742182880 is about 27243.0336049420. The cubic root of 742182880 is about 905.3926767803.

The spelling of 742182880 in words is "seven hundred forty-two million, one hundred eighty-two thousand, eight hundred eighty".