77689480 has 64 divisors (see below), whose sum is σ = 200750400. Its totient is φ = 26760960.

The previous prime is 77689477. The next prime is 77689487. The reversal of 77689480 is 8498677.

It is not an unprimeable number, because it can be changed into a prime (77689487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 13006.

It is an arithmetic number, because the mean of its divisors is an integer number (3136725).

Almost surely, 2^77689480 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 77689480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100375200).

77689480 is an abundant number, since it is smaller than the sum of its proper divisors (123060920).

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

77689480 is a wasteful number, since it uses less digits than its factorization.

77689480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 77689480 is about 8814.1636018399. The cubic root of 77689480 is about 426.6981286478.

The spelling of 77689480 in words is "seventy-seven million, six hundred eighty-nine thousand, four hundred eighty".