77745360 has 240 divisors, whose sum is σ = 306355392. Its totient is φ = 16128000.

The previous prime is 77745337. The next prime is 77745361. The reversal of 77745360 is 6354777.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77745361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129060 + ... + 129660.

Almost surely, 2^77745360 is an apocalyptic number.

77745360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153177696).

77745360 is an abundant number, since it is smaller than the sum of its proper divisors (228610032).

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

77745360 is a wasteful number, since it uses less digits than its factorization.

77745360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 77745360 is about 8817.3329300872. The cubic root of 77745360 is about 426.8004083771.

The spelling of 77745360 in words is "seventy-seven million, seven hundred forty-five thousand, three hundred sixty".