76527220 has 144 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 22982400.

The previous prime is 76527179. The next prime is 76527239. The reversal of 76527220 is 2272567.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 334066 + ... + 334294.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 2^76527220 is an apocalyptic number.

76527220 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 76527220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

76527220 is an abundant number, since it is smaller than the sum of its proper divisors (134910860).

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

76527220 is a wasteful number, since it uses less digits than its factorization.

76527220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 76527220 is about 8747.9837677033. The cubic root of 76527220 is about 424.5595806684.

Adding to 76527220 its reverse (2272567), we get a palindrome (78799787).

The spelling of 76527220 in words is "seventy-six million, five hundred twenty-seven thousand, two hundred twenty".