77663040 has 336 divisors, whose sum is σ = 311334912. Its totient is φ = 16257024.

The previous prime is 77663039. The next prime is 77663077. The reversal of 77663040 is 4036677.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 77662992 and 77663010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611457 + ... + 611583.

It is an arithmetic number, because the mean of its divisors is an integer number (926592).

Almost surely, 2^77663040 is an apocalyptic number.

77663040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

77663040 is an abundant number, since it is smaller than the sum of its proper divisors (233671872).

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

77663040 is a wasteful number, since it uses less digits than its factorization.

77663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 77663040 is about 8812.6636155024. The cubic root of 77663040 is about 426.6497172086.

The spelling of 77663040 in words is "seventy-seven million, six hundred sixty-three thousand, forty".