77369664 has 56 divisors (see below), whose sum is σ = 210259168. Its totient is φ = 25090560.

The previous prime is 77369641. The next prime is 77369681. The reversal of 77369664 is 46696377.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (3754628).

Almost surely, 2^77369664 is an apocalyptic number.

77369664 is a gapful number since it is divisible by the number (74) 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 77369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105129584).

77369664 is an abundant number, since it is smaller than the sum of its proper divisors (132889504).

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

77369664 is a wasteful number, since it uses less digits than its factorization.

77369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10933 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 77369664 is about 8796.0027285125. The cubic root of 77369664 is about 426.1118091317. Note that the first 3 decimals are identical.

Subtracting from 77369664 its sum of digits (48), we obtain a square (77369616 = 8796²).

The spelling of 77369664 in words is "seventy-seven million, three hundred sixty-nine thousand, six hundred sixty-four".