77317240 has 128 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 22233600.

The previous prime is 77317189. The next prime is 77317243. The reversal of 77317240 is 4271377.

77317240 = T₂₂₀ + T₂₂₁ + ... + T₇₇₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77317243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39075 + ... + 41005.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 2^77317240 is an apocalyptic number.

77317240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77317240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

77317240 is an abundant number, since it is smaller than the sum of its proper divisors (156377480).

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

77317240 is a wasteful number, since it uses less digits than its factorization.

77317240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 77317240 is about 8793.0222335668. The cubic root of 77317240 is about 426.0155460247.

The spelling of 77317240 in words is "seventy-seven million, three hundred seventeen thousand, two hundred forty".