77542560 has 72 divisors (see below), whose sum is σ = 264618900. Its totient is φ = 20677632.

The previous prime is 77542511. The next prime is 77542561. The reversal of 77542560 is 6524577.

It can be written as a sum of positive squares in 2 ways, for example, as 70761744 + 6780816 = 8412^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77542560² = 12025697222707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77542561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25485 + ... + 28364.

Almost surely, 2^77542560 is an apocalyptic number.

It is an amenable number.

77542560 is an abundant number, since it is smaller than the sum of its proper divisors (187076340).

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

77542560 is a wasteful number, since it uses less digits than its factorization.

77542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53870 (or 53859 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 77542560 is about 8805.8253446227. The cubic root of 77542560 is about 426.4289800278.

The spelling of 77542560 in words is "seventy-seven million, five hundred forty-two thousand, five hundred sixty".