76616892 has 144 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 20666880.

The previous prime is 76616879. The next prime is 76616893. The reversal of 76616892 is 29861667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76616893) 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 47 ways as a sum of consecutive naturals, for example, 127609 + ... + 128207.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^76616892 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 76616892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

76616892 is an abundant number, since it is smaller than the sum of its proper divisors (159255108).

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

76616892 is a wasteful number, since it uses less digits than its factorization.

76616892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 76616892 is about 8753.1075624603. The cubic root of 76616892 is about 424.7253441107.

The spelling of 76616892 in words is "seventy-six million, six hundred sixteen thousand, eight hundred ninety-two".