77658816 has 56 divisors (see below), whose sum is σ = 206119984. Its totient is φ = 25804800.

The previous prime is 77658811. The next prime is 77658821. The reversal of 77658816 is 61885677.

It is an interprime number because it is at equal distance from previous prime (77658811) and next prime (77658821).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (77658811) 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 7 ways as a sum of consecutive naturals, for example, 115056 + ... + 115728.

It is an arithmetic number, because the mean of its divisors is an integer number (3680714).

Almost surely, 2^77658816 is an apocalyptic number.

It is an amenable number.

77658816 is an abundant number, since it is smaller than the sum of its proper divisors (128461168).

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

77658816 is a wasteful number, since it uses less digits than its factorization.

77658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 77658816 is about 8812.4239571187. The cubic root of 77658816 is about 426.6419820789.

The spelling of 77658816 in words is "seventy-seven million, six hundred fifty-eight thousand, eight hundred sixteen".