77681619 has 16 divisors (see below), whose sum is σ = 121854240. Its totient is φ = 48741120.

The previous prime is 77681579. The next prime is 77681641. The reversal of 77681619 is 91618677.

It is not a de Polignac number, because 77681619 - 2⁷ = 77681491 is a prime.

It is a super-4 number, since 4×77681619⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (77681689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84162 + ... + 85079.

It is an arithmetic number, because the mean of its divisors is an integer number (7615890).

Almost surely, 2^77681619 is an apocalyptic number.

77681619 is a deficient number, since it is larger than the sum of its proper divisors (44172621).

77681619 is a wasteful number, since it uses less digits than its factorization.

77681619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169267 (or 169261 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 77681619 is about 8813.7176605562. The cubic root of 77681619 is about 426.6837363641.

The spelling of 77681619 in words is "seventy-seven million, six hundred eighty-one thousand, six hundred nineteen".