733985280 has 640 divisors, whose sum is σ = 3134799360. Its totient is φ = 159252480.

The previous prime is 733985279. The next prime is 733985303. The reversal of 733985280 is 82589337.

733985280 is a `hidden beast` number, since 7 + 33 + 98 + 528 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17902060 + ... + 17902100.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^733985280 is an apocalyptic number.

733985280 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 733985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

733985280 is an abundant number, since it is smaller than the sum of its proper divisors (2400814080).

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

733985280 is a wasteful number, since it uses less digits than its factorization.

733985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 733985280 is about 27092.1627043690. The cubic root of 733985280 is about 902.0468967084.

The spelling of 733985280 in words is "seven hundred thirty-three million, nine hundred eighty-five thousand, two hundred eighty".