77486240 has 48 divisors (see below), whose sum is σ = 197148168. Its totient is φ = 28609536.

The previous prime is 77486239. The next prime is 77486261. The reversal of 77486240 is 4268477.

It can be written as a sum of positive squares in 4 ways, for example, as 71707024 + 5779216 = 8468^2 + 2404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77486194 and 77486203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16547 + ... + 20706.

Almost surely, 2^77486240 is an apocalyptic number.

It is an amenable number.

77486240 is an abundant number, since it is smaller than the sum of its proper divisors (119661928).

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

77486240 is a wasteful number, since it uses less digits than its factorization.

77486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37281 (or 37273 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 77486240 is about 8802.6268806533. The cubic root of 77486240 is about 426.3257150295.

The spelling of 77486240 in words is "seventy-seven million, four hundred eighty-six thousand, two hundred forty".