742546080 has 144 divisors (see below), whose sum is σ = 2595948264. Its totient is φ = 193167360.

The previous prime is 742546067. The next prime is 742546097. The reversal of 742546080 is 80645247.

742546080 is a `hidden beast` number, since 7 + 42 + 5 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 574273296 + 168272784 = 23964^2 + 12972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52752 + ... + 65328.

Almost surely, 2^742546080 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 742546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297974132).

742546080 is an abundant number, since it is smaller than the sum of its proper divisors (1853402184).

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

742546080 is a wasteful number, since it uses less digits than its factorization.

742546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12639 (or 12628 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 742546080 is about 27249.6987139308. The cubic root of 742546080 is about 905.5403425388.

The spelling of 742546080 in words is "seven hundred forty-two million, five hundred forty-six thousand, eighty".