76489896 has 128 divisors (see below), whose sum is σ = 237772800. Its totient is φ = 20010240.

The previous prime is 76489879. The next prime is 76489937. The reversal of 76489896 is 69898467.

76489896 is a nontrivial binomial coefficient, being equal to C(12369, 2).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 98566 + ... + 99338.

It is an arithmetic number, because the mean of its divisors is an integer number (1857600).

Almost surely, 2^76489896 is an apocalyptic number.

76489896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

76489896 is the 12368-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76489896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118886400).

76489896 is an abundant number, since it is smaller than the sum of its proper divisors (161282904).

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

76489896 is a wasteful number, since it uses less digits than its factorization.

76489896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 76489896 is about 8745.8502159596. The cubic root of 76489896 is about 424.4905471112.

The spelling of 76489896 in words is "seventy-six million, four hundred eighty-nine thousand, eight hundred ninety-six".