77430936 has 64 divisors (see below), whose sum is σ = 216910080. Its totient is φ = 22826880.

The previous prime is 77430931. The next prime is 77430953. The reversal of 77430936 is 63903477.

It is a junction number, because it is equal to n+sod(n) for n = 77430894 and 77430903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77430931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (3389220).

Almost surely, 2^77430936 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 77430936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108455040).

77430936 is an abundant number, since it is smaller than the sum of its proper divisors (139479144).

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

77430936 is a wasteful number, since it uses less digits than its factorization.

77430936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 77430936 is about 8799.4849849295. The cubic root of 77430936 is about 426.2242642047.

The spelling of 77430936 in words is "seventy-seven million, four hundred thirty thousand, nine hundred thirty-six".