77310740 has 72 divisors (see below), whose sum is σ = 178468920. Its totient is φ = 28114944.

The previous prime is 77310733. The next prime is 77310749. The reversal of 77310740 is 4701377.

It can be written as a sum of positive squares in 12 ways, for example, as 31315216 + 45995524 = 5596^2 + 6782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77310749) 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 23 ways as a sum of consecutive naturals, for example, 300692 + ... + 300948.

It is an arithmetic number, because the mean of its divisors is an integer number (2478735).

Almost surely, 2^77310740 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 77310740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89234460).

77310740 is an abundant number, since it is smaller than the sum of its proper divisors (101158180).

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

77310740 is a wasteful number, since it uses less digits than its factorization.

77310740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 77310740 is about 8792.6526145413. The cubic root of 77310740 is about 426.0036074254.

The spelling of 77310740 in words is "seventy-seven million, three hundred ten thousand, seven hundred forty".