76608120 has 144 divisors (see below), whose sum is σ = 249443640. Its totient is φ = 18818048.

The previous prime is 76608113. The next prime is 76608121. The reversal of 76608120 is 2180667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76608121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1629937 + ... + 1629983.

Almost surely, 2^76608120 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 76608120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124721820).

76608120 is an abundant number, since it is smaller than the sum of its proper divisors (172835520).

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

76608120 is a wasteful number, since it uses less digits than its factorization.

76608120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 76608120 is about 8752.6064689326. The cubic root of 76608120 is about 424.7091343132.

Multiplying 76608120 by its sum of digits (30), we get a square (2298243600 = 47940²).

76608120 divided by its sum of digits (30) gives a square (2553604 = 1598²).

Adding to 76608120 its reverse (2180667), we get a palindrome (78788787).

The spelling of 76608120 in words is "seventy-six million, six hundred eight thousand, one hundred twenty".