742628320 has 72 divisors (see below), whose sum is σ = 2040923304. Its totient is φ = 254612736.

The previous prime is 742628311. The next prime is 742628321. The reversal of 742628320 is 23826247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742628321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39522 + ... + 55201.

It is an arithmetic number, because the mean of its divisors is an integer number (28346157).

Almost surely, 2^742628320 is an apocalyptic number.

742628320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742628320 is an abundant number, since it is smaller than the sum of its proper divisors (1298294984).

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

742628320 is a wasteful number, since it uses less digits than its factorization.

742628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94752 (or 94737 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 742628320 is about 27251.2076796607. The cubic root of 742628320 is about 905.5737720640.

The spelling of 742628320 in words is "seven hundred forty-two million, six hundred twenty-eight thousand, three hundred twenty".