76793670 has 80 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 20272896.

The previous prime is 76793669. The next prime is 76793677. The reversal of 76793670 is 7639767.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76793677) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 91111 + ... + 91949.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^76793670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76793670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

76793670 is an abundant number, since it is smaller than the sum of its proper divisors (131771610).

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

76793670 is a wasteful number, since it uses less digits than its factorization.

76793670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 76793670 is about 8763.1997580792. The cubic root of 76793670 is about 425.0517491773.

The spelling of 76793670 in words is "seventy-six million, seven hundred ninety-three thousand, six hundred seventy".