742978176 has 64 divisors (see below), whose sum is σ = 1977225120. Its totient is φ = 247196672.

The previous prime is 742978133. The next prime is 742978189. The reversal of 742978176 is 671879247.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249271 + ... + 252233.

Almost surely, 2^742978176 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 742978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988612560).

742978176 is an abundant number, since it is smaller than the sum of its proper divisors (1234246944).

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

742978176 is a wasteful number, since it uses less digits than its factorization.

742978176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3621 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 742978176 is about 27257.6260154842. The cubic root of 742978176 is about 905.7159565503.

The spelling of 742978176 in words is "seven hundred forty-two million, nine hundred seventy-eight thousand, one hundred seventy-six".