213384780 has 240 divisors, whose sum is σ = 791003136. Its totient is φ = 47122560.

The previous prime is 213384779. The next prime is 213384817. The reversal of 213384780 is 87483312.

213384780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351237 + ... + 351843.

Almost surely, 2^213384780 is an apocalyptic number.

213384780 is a gapful number since it is divisible by the number (20) 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 213384780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395501568).

213384780 is an abundant number, since it is smaller than the sum of its proper divisors (577618356).

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

213384780 is a wasteful number, since it uses less digits than its factorization.

213384780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 213384780 is about 14607.6959168789. The cubic root of 213384780 is about 597.5686609588.

The spelling of 213384780 in words is "two hundred thirteen million, three hundred eighty-four thousand, seven hundred eighty".