77895648 has 96 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 25648128.

The previous prime is 77895569. The next prime is 77895673. The reversal of 77895648 is 84659877.

77895648 is a `hidden beast` number, since 7 + 78 + 9 + 564 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77895594 and 77895603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76390 + ... + 77402.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^77895648 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 77895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

77895648 is an abundant number, since it is smaller than the sum of its proper divisors (152079552).

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

77895648 is a wasteful number, since it uses less digits than its factorization.

77895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 77895648 is about 8825.8511204303. The cubic root of 77895648 is about 427.0752444700.

The spelling of 77895648 in words is "seventy-seven million, eight hundred ninety-five thousand, six hundred forty-eight".