76016840 has 64 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 28517632.

The previous prime is 76016827. The next prime is 76016851. The reversal of 76016840 is 4861067.

It is a junction number, because it is equal to n+sod(n) for n = 76016797 and 76016806.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47981 + ... + 49539.

It is an arithmetic number, because the mean of its divisors is an integer number (2843100).

Almost surely, 2^76016840 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 76016840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979200).

76016840 is an abundant number, since it is smaller than the sum of its proper divisors (105941560).

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

76016840 is a wasteful number, since it uses less digits than its factorization.

76016840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 76016840 is about 8718.7636738244. The cubic root of 76016840 is about 423.6136417594.

It can be divided in two parts, 7601 and 6840, that added together give a palindrome (14441).

The spelling of 76016840 in words is "seventy-six million, sixteen thousand, eight hundred forty".