77693856 has 48 divisors (see below), whose sum is σ = 204501024. Its totient is φ = 25827584.

The previous prime is 77693797. The next prime is 77693857. The reversal of 77693856 is 65839677.

It is a tau number, because it is divible by the number of its divisors (48).

Its product of digits (1905120) is a multiple of the sum of its prime divisors (2205).

It is a junction number, because it is equal to n+sod(n) for n = 77693799 and 77693808.

It is not an unprimeable number, because it can be changed into a prime (77693857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43966 + ... + 45698.

It is an arithmetic number, because the mean of its divisors is an integer number (4260438).

Almost surely, 2^77693856 is an apocalyptic number.

It is an amenable number.

77693856 is an abundant number, since it is smaller than the sum of its proper divisors (126807168).

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

77693856 is a wasteful number, since it uses less digits than its factorization.

77693856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2205 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 77693856 is about 8814.4118351709. The cubic root of 77693856 is about 426.7061400112.

The spelling of 77693856 in words is "seventy-seven million, six hundred ninety-three thousand, eight hundred fifty-six".