77369940 has 72 divisors (see below), whose sum is σ = 235839240. Its totient is φ = 20530944.

The previous prime is 77369927. The next prime is 77369947. The reversal of 77369940 is 4996377.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 49364676 = 5292^2 + 7026^2 .

It is a super-2 number, since 2×77369940² = 11972215231207200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77369947) 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 23 ways as a sum of consecutive naturals, for example, 40282 + ... + 42158.

It is an arithmetic number, because the mean of its divisors is an integer number (3275545).

Almost surely, 2^77369940 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 77369940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117919620).

77369940 is an abundant number, since it is smaller than the sum of its proper divisors (158469300).

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

77369940 is a wasteful number, since it uses less digits than its factorization.

77369940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 77369940 is about 8796.0184174432. The cubic root of 77369940 is about 426.1123158192.

The spelling of 77369940 in words is "seventy-seven million, three hundred sixty-nine thousand, nine hundred forty".