77245140 has 48 divisors (see below), whose sum is σ = 247185792. Its totient is φ = 17655936.

The previous prime is 77245097. The next prime is 77245141. The reversal of 77245140 is 4154277.

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 = 77245098 and 77245107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77245141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91539 + ... + 92378.

It is an arithmetic number, because the mean of its divisors is an integer number (5149704).

Almost surely, 2^77245140 is an apocalyptic number.

77245140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77245140 is an abundant number, since it is smaller than the sum of its proper divisors (169940652).

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

77245140 is a wasteful number, since it uses less digits than its factorization.

77245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183936 (or 183934 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 77245140 is about 8788.9214355346. The cubic root of 77245140 is about 425.8830819347.

The spelling of 77245140 in words is "seventy-seven million, two hundred forty-five thousand, one hundred forty".