77948 has 12 divisors (see below), whose sum is σ = 147000. Its totient is φ = 35952.

The previous prime is 77933. The next prime is 77951. The reversal of 77948 is 84977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 698 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (12250).

2⁷⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

77948 is a deficient number, since it is larger than the sum of its proper divisors (69052).

77948 is a wasteful number, since it uses less digits than its factorization.

77948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1514 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 77948 is about 279.1916904208. The cubic root of 77948 is about 42.7170899092.

Subtracting from 77948 its product of digits (14112), we obtain a palindrome (63836).

The spelling of 77948 in words is "seventy-seven thousand, nine hundred forty-eight".