742834176 has 240 divisors, whose sum is σ = 2415845376. Its totient is φ = 198180864.

The previous prime is 742834171. The next prime is 742834223. The reversal of 742834176 is 671438247.

It is a super-2 number, since 2×742834176² = 1103605226067197952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742834171) 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, 5849025 + ... + 5849151.

Almost surely, 2^742834176 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 742834176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207922688).

742834176 is an abundant number, since it is smaller than the sum of its proper divisors (1673011200).

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

742834176 is a wasteful number, since it uses less digits than its factorization.

742834176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 742834176 is about 27254.9844248717. The cubic root of 742834176 is about 905.6574391184.

The spelling of 742834176 in words is "seven hundred forty-two million, eight hundred thirty-four thousand, one hundred seventy-six".