77424864 has 96 divisors (see below), whose sum is σ = 223606656. Its totient is φ = 23262720.

The previous prime is 77424863. The next prime is 77424869. The reversal of 77424864 is 46842477.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77424863) 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, 165559 + ... + 166025.

It is an arithmetic number, because the mean of its divisors is an integer number (2329236).

Almost surely, 2^77424864 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 77424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803328).

77424864 is an abundant number, since it is smaller than the sum of its proper divisors (146181792).

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

77424864 is a wasteful number, since it uses less digits than its factorization.

77424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 77424864 is about 8799.1399579732. The cubic root of 77424864 is about 426.2131226571.

The spelling of 77424864 in words is "seventy-seven million, four hundred twenty-four thousand, eight hundred sixty-four".