213779700 has 108 divisors (see below), whose sum is σ = 674331840. Its totient is φ = 56646720.

The previous prime is 213779681. The next prime is 213779701. The reversal of 213779700 is 7977312.

213779700 is digitally balanced in base 2 and base 3, because in such bases 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213779701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160437 + ... + 161763.

Almost surely, 2^213779700 is an apocalyptic number.

213779700 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 213779700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337165920).

213779700 is an abundant number, since it is smaller than the sum of its proper divisors (460552140).

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

213779700 is a wasteful number, since it uses less digits than its factorization.

213779700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 213779700 is about 14621.2072005016. The cubic root of 213779700 is about 597.9370820781.

It can be divided in two parts, 21 and 3779700, that multiplied together give a triangular number (79373700 = T₁₂₅₉₉).

The spelling of 213779700 in words is "two hundred thirteen million, seven hundred seventy-nine thousand, seven hundred".