77853648 has 40 divisors (see below), whose sum is σ = 207613696. Its totient is φ = 25113600.

The previous prime is 77853647. The next prime is 77853653. The reversal of 77853648 is 84635877.

It is a super-2 number, since 2×77853648² = 12122381013815808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 77853597 and 77853606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77853641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24673 + ... + 27648.

Almost surely, 2^77853648 is an apocalyptic number.

It is an amenable number.

77853648 is an abundant number, since it is smaller than the sum of its proper divisors (129760048).

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

77853648 is a wasteful number, since it uses less digits than its factorization.

77853648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52363 (or 52357 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 77853648 is about 8823.4714256918. The cubic root of 77853648 is about 426.9984734500.

The spelling of 77853648 in words is "seventy-seven million, eight hundred fifty-three thousand, six hundred forty-eight".