76962 has 16 divisors (see below), whose sum is σ = 156672. Its totient is φ = 25200.

The previous prime is 76961. The next prime is 76963. The reversal of 76962 is 26967.

It is an interprime number because it is at equal distance from previous prime (76961) and next prime (76963).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76962.

It is not an unprimeable number, because it can be changed into a prime (76961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2⁷⁶⁹⁶² is an apocalyptic number.

76962 is an abundant number, since it is smaller than the sum of its proper divisors (79710).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336).

76962 is a wasteful number, since it uses less digits than its factorization.

76962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 4536, while the sum is 30.

The square root of 76962 is about 277.4202588132. The cubic root of 76962 is about 42.5362090497.

The spelling of 76962 in words is "seventy-six thousand, nine hundred sixty-two".