77193648 has 200 divisors, whose sum is σ = 261189632. Its totient is φ = 21555072.

The previous prime is 77193647. The next prime is 77193661. The reversal of 77193648 is 84639177.

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

It is not an unprimeable number, because it can be changed into a prime (77193647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 607761 + ... + 607887.

Almost surely, 2^77193648 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 77193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130594816).

77193648 is an abundant number, since it is smaller than the sum of its proper divisors (183995984).

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

77193648 is a wasteful number, since it uses less digits than its factorization.

77193648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77193648 is about 8785.9915775056. The cubic root of 77193648 is about 425.7884289626.

It can be divided in two parts, 77193 and 648, that added together give a square (77841 = 279²).

The spelling of 77193648 in words is "seventy-seven million, one hundred ninety-three thousand, six hundred forty-eight".