733380480 has 640 divisors, whose sum is σ = 3127956480. Its totient is φ = 160247808.

The previous prime is 733380469. The next prime is 733380499. The reversal of 733380480 is 84083337.

733380480 is a `hidden beast` number, since 73 + 33 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×733380480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 15603817 + ... + 15603863.

It is an arithmetic number, because the mean of its divisors is an integer number (4887432).

Almost surely, 2^733380480 is an apocalyptic number.

733380480 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 733380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563978240).

733380480 is an abundant number, since it is smaller than the sum of its proper divisors (2394576000).

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

733380480 is a wasteful number, since it uses less digits than its factorization.

733380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

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

The square root of 733380480 is about 27080.9985044865. The cubic root of 733380480 is about 901.7990679974.

The spelling of 733380480 in words is "seven hundred thirty-three million, three hundred eighty thousand, four hundred eighty".