76821696 has 280 divisors, whose sum is σ = 272917920. Its totient is φ = 20901888.

The previous prime is 76821683. The next prime is 76821707. The reversal of 76821696 is 69612867.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052316 + ... + 1052388.

Almost surely, 2^76821696 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 76821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136458960).

76821696 is an abundant number, since it is smaller than the sum of its proper divisors (196096224).

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

76821696 is a wasteful number, since it uses less digits than its factorization.

76821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

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

The square root of 76821696 is about 8764.7986856516. The cubic root of 76821696 is about 425.1034507106.

The spelling of 76821696 in words is "seventy-six million, eight hundred twenty-one thousand, six hundred ninety-six".