76271220 has 180 divisors, whose sum is σ = 252931140. Its totient is φ = 19236096.

The previous prime is 76271219. The next prime is 76271227. The reversal of 76271220 is 2217267.

76271220 is a `hidden beast` number, since 7 + 627 + 12 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 55532304 = 4554^2 + 7452^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76271227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 856936 + ... + 857024.

It is an arithmetic number, because the mean of its divisors is an integer number (1405173).

Almost surely, 2^76271220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76271220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126465570).

76271220 is an abundant number, since it is smaller than the sum of its proper divisors (176659920).

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

76271220 is a wasteful number, since it uses less digits than its factorization.

76271220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76271220 is about 8733.3395674278. The cubic root of 76271220 is about 424.0856374429.

Adding to 76271220 its reverse (2217267), we get a palindrome (78488487).

The spelling of 76271220 in words is "seventy-six million, two hundred seventy-one thousand, two hundred twenty".