77233140 has 72 divisors (see below), whose sum is σ = 235271400. Its totient is φ = 20507904.

The previous prime is 77233139. The next prime is 77233187. The reversal of 77233140 is 4133277.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 76947984 = 534^2 + 8772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49086 + ... + 50634.

Almost surely, 2^77233140 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 77233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117635700).

77233140 is an abundant number, since it is smaller than the sum of its proper divisors (158038260).

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

77233140 is a wasteful number, since it uses less digits than its factorization.

77233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77233140 is about 8788.2387313955. The cubic root of 77233140 is about 425.8610272067.

The spelling of 77233140 in words is "seventy-seven million, two hundred thirty-three thousand, one hundred forty".