76617640 has 64 divisors (see below), whose sum is σ = 199143360. Its totient is φ = 26219520.

The previous prime is 76617637. The next prime is 76617641. The reversal of 76617640 is 4671667.

It is a self number, because there is not a number n which added to its sum of digits gives 76617640.

It is not an unprimeable number, because it can be changed into a prime (76617641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359 + ... + 12601.

It is an arithmetic number, because the mean of its divisors is an integer number (3111615).

Almost surely, 2^76617640 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 76617640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99571680).

76617640 is an abundant number, since it is smaller than the sum of its proper divisors (122525720).

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

76617640 is a wasteful number, since it uses less digits than its factorization.

76617640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 76617640 is about 8753.1502900384. The cubic root of 76617640 is about 424.7267262843.

It can be divided in two parts, 76 and 617640, that added together give a palindrome (617716).

The spelling of 76617640 in words is "seventy-six million, six hundred seventeen thousand, six hundred forty".