742301820 has 288 divisors, whose sum is σ = 2602629120. Its totient is φ = 176359680.

The previous prime is 742301801. The next prime is 742301831. The reversal of 742301820 is 28103247.

742301820 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1958391 + ... + 1958769.

Almost surely, 2^742301820 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 742301820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301314560).

742301820 is an abundant number, since it is smaller than the sum of its proper divisors (1860327300).

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

742301820 is a wasteful number, since it uses less digits than its factorization.

742301820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 742301820 is about 27245.2164608762. The cubic root of 742301820 is about 905.4410393675.

The spelling of 742301820 in words is "seven hundred forty-two million, three hundred one thousand, eight hundred twenty".