77489460 has 120 divisors (see below), whose sum is σ = 251091456. Its totient is φ = 19984320.

The previous prime is 77489449. The next prime is 77489521. The reversal of 77489460 is 6498477.

It is a super-2 number, since 2×77489460² = 12009232822183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49449 + ... + 50991.

Almost surely, 2^77489460 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 77489460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125545728).

77489460 is an abundant number, since it is smaller than the sum of its proper divisors (173601996).

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

77489460 is a wasteful number, since it uses less digits than its factorization.

77489460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77489460 is about 8802.8097787013. The cubic root of 77489460 is about 426.3316203781.

The spelling of 77489460 in words is "seventy-seven million, four hundred eighty-nine thousand, four hundred sixty".