76785620 has 48 divisors (see below), whose sum is σ = 170931600. Its totient is φ = 28922880.

The previous prime is 76785613. The next prime is 76785637. The reversal of 76785620 is 2658767.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14122564 + 62663056 = 3758^2 + 7916^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22166 + ... + 25394.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2^76785620 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 76785620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85465800).

76785620 is an abundant number, since it is smaller than the sum of its proper divisors (94145980).

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

76785620 is a wasteful number, since it uses less digits than its factorization.

76785620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 76785620 is about 8762.7404389266. The cubic root of 76785620 is about 425.0368964507.

The spelling of 76785620 in words is "seventy-six million, seven hundred eighty-five thousand, six hundred twenty".