777648 has 40 divisors (see below), whose sum is σ = 2129328. Its totient is φ = 243712.

The previous prime is 777643. The next prime is 777661. The reversal of 777648 is 846777.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 777648.

It is not an unprimeable number, because it can be changed into a prime (777641) by changing a digit.

777648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 1292.

2⁷⁷⁷⁶⁴⁸ 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 777648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064664).

777648 is an abundant number, since it is smaller than the sum of its proper divisors (1351680).

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

777648 is a wasteful number, since it uses less digits than its factorization.

777648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 777648 is about 881.8435235346. The cubic root of 777648 is about 91.9590239704.

It can be divided in two parts, 7776 and 48, that multiplied together give a cube (373248 = 72³).

The spelling of 777648 in words is "seven hundred seventy-seven thousand, six hundred forty-eight".