77057340 has 72 divisors (see below), whose sum is σ = 219664368. Its totient is φ = 20183040.

The previous prime is 77057317. The next prime is 77057341. The reversal of 77057340 is 4375077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77057341) 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, 319620 + ... + 319860.

It is an arithmetic number, because the mean of its divisors is an integer number (3050894).

Almost surely, 2^77057340 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 77057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109832184).

77057340 is an abundant number, since it is smaller than the sum of its proper divisors (142607028).

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

77057340 is a wasteful number, since it uses less digits than its factorization.

77057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 77057340 is about 8778.2310290855. The cubic root of 77057340 is about 425.5376632348.

The spelling of 77057340 in words is "seventy-seven million, fifty-seven thousand, three hundred forty".