742078176 has 192 divisors, whose sum is σ = 2320851456. Its totient is φ = 203212800.

The previous prime is 742078171. The next prime is 742078199. The reversal of 742078176 is 671870247.

742078176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742078171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762446 + ... + 1762866.

It is an arithmetic number, because the mean of its divisors is an integer number (12087768).

Almost surely, 2^742078176 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 742078176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160425728).

742078176 is an abundant number, since it is smaller than the sum of its proper divisors (1578773280).

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

742078176 is a wasteful number, since it uses less digits than its factorization.

742078176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 742078176 is about 27241.1118715812. Note that the first 3 decimals coincide. The cubic root of 742078176 is about 905.3500984636.

The spelling of 742078176 in words is "seven hundred forty-two million, seventy-eight thousand, one hundred seventy-six".