213076080 has 240 divisors, whose sum is σ = 831327744. Its totient is φ = 47900160.

The previous prime is 213076049. The next prime is 213076103. The reversal of 213076080 is 80670312.

213076080 is a `hidden beast` number, since 21 + 30 + 7 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337365 + ... + 337995.

Almost surely, 2^213076080 is an apocalyptic number.

213076080 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 213076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415663872).

213076080 is an abundant number, since it is smaller than the sum of its proper divisors (618251664).

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

213076080 is a wasteful number, since it uses less digits than its factorization.

213076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213076080 is about 14597.1257444745. The cubic root of 213076080 is about 597.2803578701.

It can be divided in two parts, 2130 and 76080, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 213076080 in words is "two hundred thirteen million, seventy-six thousand, eighty".