742186080 has 144 divisors (see below), whose sum is σ = 2642945760. Its totient is φ = 189302784.

The previous prime is 742186079. The next prime is 742186121. The reversal of 742186080 is 80681247.

742186080 is a `hidden beast` number, since 7 + 42 + 1 + 8 + 608 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21916 + ... + 44324.

It is an arithmetic number, because the mean of its divisors is an integer number (18353790).

Almost surely, 2^742186080 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 742186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321472880).

742186080 is an abundant number, since it is smaller than the sum of its proper divisors (1900759680).

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

742186080 is a wasteful number, since it uses less digits than its factorization.

742186080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22453 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 742186080 is about 27243.0923354894. The cubic root of 742186080 is about 905.3939780105.

The spelling of 742186080 in words is "seven hundred forty-two million, one hundred eighty-six thousand, eighty".