77460240 has 320 divisors, whose sum is σ = 294481152. Its totient is φ = 16588800.

The previous prime is 77460209. The next prime is 77460259. The reversal of 77460240 is 4206477.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77460198 and 77460207.

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 63 ways as a sum of consecutive naturals, for example, 1269810 + ... + 1269870.

Almost surely, 2^77460240 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 77460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

77460240 is an abundant number, since it is smaller than the sum of its proper divisors (217020912).

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

77460240 is a wasteful number, since it uses less digits than its factorization.

77460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 77460240 is about 8801.1499248678. The cubic root of 77460240 is about 426.2780260953.

The spelling of 77460240 in words is "seventy-seven million, four hundred sixty thousand, two hundred forty".