77887440 has 160 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 20514816.

The previous prime is 77887393. The next prime is 77887451. The reversal of 77887440 is 4478877.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230952 + ... + 231288.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^77887440 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 77887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

77887440 is an abundant number, since it is smaller than the sum of its proper divisors (193702320).

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

77887440 is a wasteful number, since it uses less digits than its factorization.

77887440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 77887440 is about 8825.3861105336. The cubic root of 77887440 is about 427.0602433891.

The spelling of 77887440 in words is "seventy-seven million, eight hundred eighty-seven thousand, four hundred forty".