77407740 has 144 divisors (see below), whose sum is σ = 245333088. Its totient is φ = 19740672.

The previous prime is 77407739. The next prime is 77407741. The reversal of 77407740 is 4770477.

It is an interprime number because it is at equal distance from previous prime (77407739) and next prime (77407741).

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

It is a junction number, because it is equal to n+sod(n) for n = 77407695 and 77407704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77407741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564952 + ... + 565088.

It is an arithmetic number, because the mean of its divisors is an integer number (1703702).

Almost surely, 2^77407740 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 77407740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122666544).

77407740 is an abundant number, since it is smaller than the sum of its proper divisors (167925348).

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

77407740 is a wasteful number, since it uses less digits than its factorization.

77407740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77407740 is about 8798.1668545215. The cubic root of 77407740 is about 426.1816985931.

The spelling of 77407740 in words is "seventy-seven million, four hundred seven thousand, seven hundred forty".