76968100 has 54 divisors (see below), whose sum is σ = 183613682. Its totient is φ = 27984000.

The previous prime is 76968083. The next prime is 76968119. The reversal of 76968100 is 186967.

It can be written as a sum of positive squares in 3 ways, for example, as 1069156 + 75898944 = 1034^2 + 8712^2 .

It is a super-2 number, since 2×76968100² = 11848176835220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76968100.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8920 + ... + 15280.

Almost surely, 2^76968100 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 76968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91806841).

76968100 is an abundant number, since it is smaller than the sum of its proper divisors (106645582).

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

76968100 is a wasteful number, since it uses less digits than its factorization.

76968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 76968100 is about 8773.1465278998. The cubic root of 76968100 is about 425.3733282512.

The spelling of 76968100 in words is "seventy-six million, nine hundred sixty-eight thousand, one hundred".