77706864 has 100 divisors (see below), whose sum is σ = 238203504. Its totient is φ = 24371712.

The previous prime is 77706793. The next prime is 77706883. The reversal of 77706864 is 46860777.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20269 + ... + 23795.

Almost surely, 2^77706864 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 77706864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119101752).

77706864 is an abundant number, since it is smaller than the sum of its proper divisors (160496640).

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

77706864 is a wasteful number, since it uses less digits than its factorization.

77706864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77706864 is about 8815.1496867609. The cubic root of 77706864 is about 426.7299526351.

The spelling of 77706864 in words is "seventy-seven million, seven hundred six thousand, eight hundred sixty-four".