736226820 has 576 divisors, whose sum is σ = 2994001920. Its totient is φ = 147806208.

The previous prime is 736226819. The next prime is 736226893. The reversal of 736226820 is 28622637.

736226820 is a `hidden beast` number, since 7 + 3 + 622 + 6 + 8 + 20 = 666.

736226820 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10988427 + ... + 10988493.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2^736226820 is an apocalyptic number.

736226820 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 736226820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

736226820 is an abundant number, since it is smaller than the sum of its proper divisors (2257775100).

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

736226820 is a wasteful number, since it uses less digits than its factorization.

736226820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 736226820 is about 27133.4999585383. The cubic root of 736226820 is about 902.9642263507.

The spelling of 736226820 in words is "seven hundred thirty-six million, two hundred twenty-six thousand, eight hundred twenty".