77776776 has 96 divisors (see below), whose sum is σ = 262641600. Its totient is φ = 20200320.

The previous prime is 77776771. The next prime is 77776781. The reversal of 77776776 is 67767777.

It is an interprime number because it is at equal distance from previous prime (77776771) and next prime (77776781).

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

It is not an unprimeable number, because it can be changed into a prime (77776771) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1471 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (2735850).

Almost surely, 2^77776776 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 77776776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131320800).

77776776 is an abundant number, since it is smaller than the sum of its proper divisors (184864824).

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

77776776 is a wasteful number, since it uses less digits than its factorization.

77776776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14059 (or 14052 counting only the distinct ones).

The product of its digits is 4235364, while the sum is 54.

The square root of 77776776 is about 8819.1142412376. The cubic root of 77776776 is about 426.8578890036.

The spelling of 77776776 in words is "seventy-seven million, seven hundred seventy-six thousand, seven hundred seventy-six".