77416660 has 48 divisors (see below), whose sum is σ = 169666560. Its totient is φ = 29635200.

The previous prime is 77416637. The next prime is 77416663. The reversal of 77416660 is 6661477.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77416663) 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, 73135 + ... + 74185.

It is an arithmetic number, because the mean of its divisors is an integer number (3534720).

Almost surely, 2^77416660 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 77416660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84833280).

77416660 is an abundant number, since it is smaller than the sum of its proper divisors (92249900).

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

77416660 is a wasteful number, since it uses less digits than its factorization.

77416660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 77416660 is about 8798.6737636987. The cubic root of 77416660 is about 426.1980681651.

The spelling of 77416660 in words is "seventy-seven million, four hundred sixteen thousand, six hundred sixty".