77082947676 has 96 divisors (see below), whose sum is σ = 229084674560. Its totient is φ = 21957091200.

The previous prime is 77082947671. The next prime is 77082947677. The reversal of 77082947676 is 67674928077.

77082947676 is a `hidden beast` number, since 7 + 70 + 8 + 29 + 476 + 76 = 666.

It is a super-5 number, since 5×77082947676⁵ (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77082947671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96216 + ... + 404256.

Almost surely, 2^77082947676 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 77082947676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114542337280).

77082947676 is an abundant number, since it is smaller than the sum of its proper divisors (152001726884).

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

77082947676 is a wasteful number, since it uses less digits than its factorization.

77082947676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308392 (or 308384 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 77082947676 in words is "seventy-seven billion, eighty-two million, nine hundred forty-seven thousand, six hundred seventy-six".