77414940 has 144 divisors (see below), whose sum is σ = 258122592. Its totient is φ = 19408896.

The previous prime is 77414881. The next prime is 77414947. The reversal of 77414940 is 4941477.

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 = 77414895 and 77414904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77414947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82152 + ... + 83088.

It is an arithmetic number, because the mean of its divisors is an integer number (1792518).

Almost surely, 2^77414940 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 77414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129061296).

77414940 is an abundant number, since it is smaller than the sum of its proper divisors (180707652).

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

77414940 is a wasteful number, since it uses less digits than its factorization.

77414940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77414940 is about 8798.5760211525. The cubic root of 77414940 is about 426.1949117984.

The spelling of 77414940 in words is "seventy-seven million, four hundred fourteen thousand, nine hundred forty".