77449960 has 128 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 24440832.

The previous prime is 77449921. The next prime is 77449969. The reversal of 77449960 is 6994477.

It is a self number, because there is not a number n which added to its sum of digits gives 77449960.

It is not an unprimeable number, because it can be changed into a prime (77449969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252127 + ... + 252433.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^77449960 is an apocalyptic number.

77449960 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 77449960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

77449960 is an abundant number, since it is smaller than the sum of its proper divisors (138100760).

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

77449960 is a wasteful number, since it uses less digits than its factorization.

77449960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 77449960 is about 8800.5658908959. The cubic root of 77449960 is about 426.2591676806.

The spelling of 77449960 in words is "seventy-seven million, four hundred forty-nine thousand, nine hundred sixty".