77468220 has 72 divisors (see below), whose sum is σ = 240012864. Its totient is φ = 20216448.

The previous prime is 77468219. The next prime is 77468221. The reversal of 77468220 is 2286477.

It is an interprime number because it is at equal distance from previous prime (77468219) and next prime (77468221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468221) 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, 3882 + ... + 13038.

It is an arithmetic number, because the mean of its divisors is an integer number (3333512).

Almost surely, 2^77468220 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 77468220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120006432).

77468220 is an abundant number, since it is smaller than the sum of its proper divisors (162544644).

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

77468220 is a wasteful number, since it uses less digits than its factorization.

77468220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77468220 is about 8801.6032630425. The cubic root of 77468220 is about 426.2926640646.

The spelling of 77468220 in words is "seventy-seven million, four hundred sixty-eight thousand, two hundred twenty".