736821330 has 384 divisors, whose sum is σ = 2395422720. Its totient is φ = 143700480.

The previous prime is 736821301. The next prime is 736821331. The reversal of 736821330 is 33128637.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 736821291 and 736821300.

It is not an unprimeable number, because it can be changed into a prime (736821331) 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 191 ways as a sum of consecutive naturals, for example, 19914072 + ... + 19914108.

It is an arithmetic number, because the mean of its divisors is an integer number (6238080).

Almost surely, 2^736821330 is an apocalyptic number.

736821330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 736821330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197711360).

736821330 is an abundant number, since it is smaller than the sum of its proper divisors (1658601390).

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

736821330 is a wasteful number, since it uses less digits than its factorization.

736821330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 736821330 is about 27144.4530245131. The cubic root of 736821330 is about 903.2072116266.

Adding to 736821330 its reverse (33128637), we get a palindrome (769949967).

The spelling of 736821330 in words is "seven hundred thirty-six million, eight hundred twenty-one thousand, three hundred thirty".