77885864 has 64 divisors (see below), whose sum is σ = 178329600. Its totient is φ = 31147200.

The previous prime is 77885849. The next prime is 77885869. The reversal of 77885864 is 46858877.

77885864 = 347² + 348² + ... + 650².

It is a happy number.

It is a super-2 number, since 2×77885864² = 12132415622052992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77885869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75029 + ... + 76059.

It is an arithmetic number, because the mean of its divisors is an integer number (2786400).

Almost surely, 2^77885864 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 77885864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89164800).

77885864 is an abundant number, since it is smaller than the sum of its proper divisors (100443736).

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

77885864 is a wasteful number, since it uses less digits than its factorization.

77885864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 53.

The square root of 77885864 is about 8825.2968222038. The cubic root of 77885864 is about 427.0573629440.

The spelling of 77885864 in words is "seventy-seven million, eight hundred eighty-five thousand, eight hundred sixty-four".