733876416 has 336 divisors, whose sum is σ = 2677363200. Its totient is φ = 193010688.

The previous prime is 733876337. The next prime is 733876427. The reversal of 733876416 is 614678337.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×733876416² = 1077149187922010112, which contains 22 as substring.

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

Its product of digits (508032) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2044045 + ... + 2044403.

Almost surely, 2^733876416 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 733876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338681600).

733876416 is an abundant number, since it is smaller than the sum of its proper divisors (1943486784).

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

733876416 is a wasteful number, since it uses less digits than its factorization.

733876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 733876416 is about 27090.1534879373. The cubic root of 733876416 is about 902.0022975902.

The spelling of 733876416 in words is "seven hundred thirty-three million, eight hundred seventy-six thousand, four hundred sixteen".