76706419860 has 432 divisors, whose sum is σ = 275765817600. Its totient is φ = 17205447168.

The previous prime is 76706419843. The next prime is 76706419861. The reversal of 76706419860 is 6891460767.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76706419797 and 76706419806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76706419861) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197188546 + ... + 197188934.

It is an arithmetic number, because the mean of its divisors is an integer number (638346800).

Almost surely, 2^76706419860 is an apocalyptic number.

76706419860 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 76706419860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137882908800).

76706419860 is an abundant number, since it is smaller than the sum of its proper divisors (199059397740).

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

76706419860 is a wasteful number, since it uses less digits than its factorization.

76706419860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76706419860 in words is "seventy-six billion, seven hundred six million, four hundred nineteen thousand, eight hundred sixty".