77743848 has 64 divisors (see below), whose sum is σ = 239218560. Its totient is φ = 20503296.

The previous prime is 77743847. The next prime is 77743889. The reversal of 77743848 is 84834777.

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

It is a junction number, because it is equal to n+sod(n) for n = 77743797 and 77743806.

It is not an unprimeable number, because it can be changed into a prime (77743847) 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 15 ways as a sum of consecutive naturals, for example, 15615 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (3737790).

Almost surely, 2^77743848 is an apocalyptic number.

77743848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77743848 is an abundant number, since it is smaller than the sum of its proper divisors (161474712).

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

77743848 is a wasteful number, since it uses less digits than its factorization.

77743848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35626 (or 35622 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 77743848 is about 8817.2471894577. The cubic root of 77743848 is about 426.7976415394.

The spelling of 77743848 in words is "seventy-seven million, seven hundred forty-three thousand, eight hundred forty-eight".