76937616 has 120 divisors (see below), whose sum is σ = 248428544. Its totient is φ = 21772800.

The previous prime is 76937611. The next prime is 76937639. The reversal of 76937616 is 61673967.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76937611) 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 23 ways as a sum of consecutive naturals, for example, 127716 + ... + 128316.

Almost surely, 2^76937616 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 76937616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124214272).

76937616 is an abundant number, since it is smaller than the sum of its proper divisors (171490928).

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

76937616 is a wasteful number, since it uses less digits than its factorization.

76937616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 76937616 is about 8771.4090088195. The cubic root of 76937616 is about 425.3171630225.

The spelling of 76937616 in words is "seventy-six million, nine hundred thirty-seven thousand, six hundred sixteen".