77106240 has 168 divisors, whose sum is σ = 272098008. Its totient is φ = 20029440.

The previous prime is 77106229. The next prime is 77106247. The reversal of 77106240 is 4260177.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 76317696 = 888^2 + 8736^2 .

It is not an unprimeable number, because it can be changed into a prime (77106247) 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, 117754 + ... + 118406.

It is an arithmetic number, because the mean of its divisors is an integer number (1619631).

Almost surely, 2^77106240 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 77106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136049004).

77106240 is an abundant number, since it is smaller than the sum of its proper divisors (194991768).

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

77106240 is a wasteful number, since it uses less digits than its factorization.

77106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77106240 is about 8781.0158865589. The cubic root of 77106240 is about 425.6276585187.

The spelling of 77106240 in words is "seventy-seven million, one hundred six thousand, two hundred forty".