76106730 has 64 divisors (see below), whose sum is σ = 215965440. Its totient is φ = 16794624.

The previous prime is 76106717. The next prime is 76106731. The reversal of 76106730 is 3760167.

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

It is not an unprimeable number, because it can be changed into a prime (76106731) 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 31 ways as a sum of consecutive naturals, for example, 159 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (3374460).

Almost surely, 2^76106730 is an apocalyptic number.

76106730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76106730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107982720).

76106730 is an abundant number, since it is smaller than the sum of its proper divisors (139858710).

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

76106730 is a wasteful number, since it uses less digits than its factorization.

76106730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 76106730 is about 8723.9171247783. The cubic root of 76106730 is about 423.7805505249.

Adding to 76106730 its reverse (3760167), we get a palindrome (79866897).

The spelling of 76106730 in words is "seventy-six million, one hundred six thousand, seven hundred thirty".