77866434 has 48 divisors (see below), whose sum is σ = 178319232. Its totient is φ = 25457328.

The previous prime is 77866433. The next prime is 77866441. The reversal of 77866434 is 43466877.

77866434 = 1186² + 1187² + ... + 1238².

It is a self number, because there is not a number n which added to its sum of digits gives 77866434.

It is not an unprimeable number, because it can be changed into a prime (77866433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24247 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^77866434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77866434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

77866434 is an abundant number, since it is smaller than the sum of its proper divisors (100452798).

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

77866434 is a wasteful number, since it uses less digits than its factorization.

77866434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3081 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 77866434 is about 8824.1959407076. The cubic root of 77866434 is about 427.0218476646.

The spelling of 77866434 in words is "seventy-seven million, eight hundred sixty-six thousand, four hundred thirty-four".