77230260 has 84 divisors (see below), whose sum is σ = 243209988. Its totient is φ = 20590848.

The previous prime is 77230253. The next prime is 77230261. The reversal of 77230260 is 6203277.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 30935844 = 6804^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77230261) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11932 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (2895357).

Almost surely, 2^77230260 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 77230260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121604994).

77230260 is an abundant number, since it is smaller than the sum of its proper divisors (165979728).

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

77230260 is a wasteful number, since it uses less digits than its factorization.

77230260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5307 counting only the distinct ones).

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

The square root of 77230260 is about 8788.0748745103. The cubic root of 77230260 is about 425.8557337321.

The spelling of 77230260 in words is "seventy-seven million, two hundred thirty thousand, two hundred sixty".