5330780100 has 180 divisors, whose sum is σ = 18297242964. Its totient is φ = 1337886720.

The previous prime is 5330780089. The next prime is 5330780111. The reversal of 5330780100 is 10870335.

It is an interprime number because it is at equal distance from previous prime (5330780089) and next prime (5330780111).

It can be written as a sum of positive squares in 6 ways, for example, as 167495364 + 5163284736 = 12942^2 + 71856^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×5330780100³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 118344 + ... + 157056.

Almost surely, 2^5330780100 is an apocalyptic number.

5330780100 is a gapful number since it is divisible by the number (50) 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 5330780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148621482).

5330780100 is an abundant number, since it is smaller than the sum of its proper divisors (12966462864).

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

5330780100 is a wasteful number, since it uses less digits than its factorization.

5330780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38756 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5330780100 is about 73012.1914477302. The cubic root of 5330780100 is about 1746.8820781243.

The spelling of 5330780100 in words is "five billion, three hundred thirty million, seven hundred eighty thousand, one hundred".