742178880 has 168 divisors, whose sum is σ = 2607576192. Its totient is φ = 193668096.

The previous prime is 742178873. The next prime is 742178891. The reversal of 742178880 is 88871247.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132619 + ... + 138101.

Almost surely, 2^742178880 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 742178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303788096).

742178880 is an abundant number, since it is smaller than the sum of its proper divisors (1865397312).

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

742178880 is a wasteful number, since it uses less digits than its factorization.

742178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 742178880 is about 27242.9601915798. The cubic root of 742178880 is about 905.3910502372.

The spelling of 742178880 in words is "seven hundred forty-two million, one hundred seventy-eight thousand, eight hundred eighty".