77740560 has 280 divisors, whose sum is σ = 286243584. Its totient is φ = 19595520.

The previous prime is 77740549. The next prime is 77740567. The reversal of 77740560 is 6504777.

It is a super-2 number, since 2×77740560² = 12087189338227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77740567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1807899 + ... + 1807941.

Almost surely, 2^77740560 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 77740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121792).

77740560 is an abundant number, since it is smaller than the sum of its proper divisors (208503024).

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

77740560 is a wasteful number, since it uses less digits than its factorization.

77740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77740560 is about 8817.0607347347. The cubic root of 77740560 is about 426.7916246413.

The spelling of 77740560 in words is "seventy-seven million, seven hundred forty thousand, five hundred sixty".