77742360 has 96 divisors (see below), whose sum is σ = 267546240. Its totient is φ = 19510272.

The previous prime is 77742349. The next prime is 77742367. The reversal of 77742360 is 6324777.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77742367) 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, 232 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (2786940).

Almost surely, 2^77742360 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 77742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133773120).

77742360 is an abundant number, since it is smaller than the sum of its proper divisors (189803880).

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

77742360 is a wasteful number, since it uses less digits than its factorization.

77742360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77742360 is about 8817.1628089766. The cubic root of 77742360 is about 426.7949185846.

The spelling of 77742360 in words is "seventy-seven million, seven hundred forty-two thousand, three hundred sixty".