733898880 has 672 divisors, whose sum is σ = 3113803980. Its totient is φ = 164229120.

The previous prime is 733898849. The next prime is 733898887. The reversal of 733898880 is 88898337.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 683090496 + 50808384 = 26136^2 + 7128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (733898887) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56453754 + ... + 56453766.

Almost surely, 2^733898880 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 733898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556901990).

733898880 is an abundant number, since it is smaller than the sum of its proper divisors (2379905100).

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

733898880 is a wasteful number, since it uses less digits than its factorization.

733898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 733898880 is about 27090.5681003555. The cubic root of 733898880 is about 902.0115009440.

The spelling of 733898880 in words is "seven hundred thirty-three million, eight hundred ninety-eight thousand, eight hundred eighty".