76627320 has 128 divisors (see below), whose sum is σ = 286640640. Its totient is φ = 15920640.

The previous prime is 76627307. The next prime is 76627337. The reversal of 76627320 is 2372667.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5094 + ... + 13386.

It is an arithmetic number, because the mean of its divisors is an integer number (2239380).

Almost surely, 2^76627320 is an apocalyptic number.

76627320 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 76627320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143320320).

76627320 is an abundant number, since it is smaller than the sum of its proper divisors (210013320).

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

76627320 is a wasteful number, since it uses less digits than its factorization.

76627320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 76627320 is about 8753.7032163536. The cubic root of 76627320 is about 424.7446124246.

Adding to 76627320 its reverse (2372667), we get a palindrome (78999987).

The spelling of 76627320 in words is "seventy-six million, six hundred twenty-seven thousand, three hundred twenty".