210799680 has 448 divisors, whose sum is σ = 873922560. Its totient is φ = 41803776.

The previous prime is 210799679. The next prime is 210799681. The reversal of 210799680 is 86997012.

It is an interprime number because it is at equal distance from previous prime (210799679) and next prime (210799681).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (210799681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659777 + ... + 1659903.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^210799680 is an apocalyptic number.

210799680 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 210799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436961280).

210799680 is an abundant number, since it is smaller than the sum of its proper divisors (663122880).

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

210799680 is a wasteful number, since it uses less digits than its factorization.

210799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 210799680 is about 14518.9421102228. The cubic root of 210799680 is about 595.1457214348.

The spelling of 210799680 in words is "two hundred ten million, seven hundred ninety-nine thousand, six hundred eighty".