742608720 has 480 divisors, whose sum is σ = 3033139200. Its totient is φ = 162570240.

The previous prime is 742608709. The next prime is 742608721. The reversal of 742608720 is 27806247.

742608720 is a `hidden beast` number, since 7 + 42 + 608 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×742608720² = 1102935422040076800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742608721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7655712 + ... + 7655808.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2^742608720 is an apocalyptic number.

742608720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516569600).

742608720 is an abundant number, since it is smaller than the sum of its proper divisors (2290530480).

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

742608720 is a wasteful number, since it uses less digits than its factorization.

742608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 742608720 is about 27250.8480601981. The cubic root of 742608720 is about 905.5658051346.

The spelling of 742608720 in words is "seven hundred forty-two million, six hundred eight thousand, seven hundred twenty".