77982048 has 96 divisors (see below), whose sum is σ = 232848000. Its totient is φ = 25377408.

The previous prime is 77982017. The next prime is 77982049. The reversal of 77982048 is 84028977.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 77981994 and 77982012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77982049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36103 + ... + 38201.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^77982048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424000).

77982048 is an abundant number, since it is smaller than the sum of its proper divisors (154865952).

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

77982048 is a wasteful number, since it uses less digits than its factorization.

77982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 77982048 is about 8830.7444759771. The cubic root of 77982048 is about 427.2330866938.

The spelling of 77982048 in words is "seventy-seven million, nine hundred eighty-two thousand, forty-eight".