76681220 has 192 divisors, whose sum is σ = 222082560. Its totient is φ = 21504000.

The previous prime is 76681217. The next prime is 76681261. The reversal of 76681220 is 2218667.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759170 + ... + 759270.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^76681220 is an apocalyptic number.

76681220 is a gapful number since it is divisible by the number (70) 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 76681220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

76681220 is an abundant number, since it is smaller than the sum of its proper divisors (145401340).

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

76681220 is a wasteful number, since it uses less digits than its factorization.

76681220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 76681220 is about 8756.7813721709. The cubic root of 76681220 is about 424.8441781706.

Adding to 76681220 its reverse (2218667), we get a palindrome (78899887).

It can be divided in two parts, 7668 and 1220, that added together give a palindrome (8888).

The spelling of 76681220 in words is "seventy-six million, six hundred eighty-one thousand, two hundred twenty".