77985460 has 144 divisors (see below), whose sum is σ = 209599488. Its totient is φ = 24192000.

The previous prime is 77985451. The next prime is 77985473. The reversal of 77985460 is 6458977.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77985460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516385 + ... + 516535.

It is an arithmetic number, because the mean of its divisors is an integer number (1455552).

Almost surely, 2^77985460 is an apocalyptic number.

77985460 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 77985460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104799744).

77985460 is an abundant number, since it is smaller than the sum of its proper divisors (131614028).

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

77985460 is a wasteful number, since it uses less digits than its factorization.

77985460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 77985460 is about 8830.9376625588. The cubic root of 77985460 is about 427.2393176066.

The spelling of 77985460 in words is "seventy-seven million, nine hundred eighty-five thousand, four hundred sixty".