733997376 has 280 divisors, whose sum is σ = 2522646720. Its totient is φ = 206696448.

The previous prime is 733997317. The next prime is 733997377. The reversal of 733997376 is 673799337.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733997377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4100455 + ... + 4100633.

Almost surely, 2^733997376 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 733997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261323360).

733997376 is an abundant number, since it is smaller than the sum of its proper divisors (1788649344).

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

733997376 is a wasteful number, since it uses less digits than its factorization.

733997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its digits is 4500846, while the sum is 54.

The square root of 733997376 is about 27092.3859414412. The cubic root of 733997376 is about 902.0518518937.

The spelling of 733997376 in words is "seven hundred thirty-three million, nine hundred ninety-seven thousand, three hundred seventy-six".