76961682 has 48 divisors (see below), whose sum is σ = 192741120. Its totient is φ = 21738816.

The previous prime is 76961681. The next prime is 76961683. The reversal of 76961682 is 28616967.

It is an interprime number because it is at equal distance from previous prime (76961681) and next prime (76961683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76961681) 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, 7783 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^76961682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76961682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370560).

76961682 is an abundant number, since it is smaller than the sum of its proper divisors (115779438).

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

76961682 is a wasteful number, since it uses less digits than its factorization.

76961682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6964 counting only the distinct ones).

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

The square root of 76961682 is about 8772.7807450090. The cubic root of 76961682 is about 425.3615046433.

The spelling of 76961682 in words is "seventy-six million, nine hundred sixty-one thousand, six hundred eighty-two".