742820 has 24 divisors (see below), whose sum is σ = 1680504. Its totient is φ = 274176.

The previous prime is 742817. The next prime is 742891. The reversal of 742820 is 28247.

742820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 708964 = 184^2 + 842^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1169 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (70021).

2⁷⁴²⁸²⁰ is an apocalyptic number.

It is an amenable number.

742820 is an abundant number, since it is smaller than the sum of its proper divisors (937684).

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

742820 is a wasteful number, since it uses less digits than its factorization.

742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 742820 is about 861.8700598118. The cubic root of 742820 is about 90.5651677993.

The spelling of 742820 in words is "seven hundred forty-two thousand, eight hundred twenty".