77008540 has 24 divisors (see below), whose sum is σ = 184820832. Its totient is φ = 26402880.

The previous prime is 77008471. The next prime is 77008549. The reversal of 77008540 is 4580077.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77008549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 274891 + ... + 275170.

It is an arithmetic number, because the mean of its divisors is an integer number (7700868).

Almost surely, 2^77008540 is an apocalyptic number.

77008540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77008540 is an abundant number, since it is smaller than the sum of its proper divisors (107812292).

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

77008540 is a wasteful number, since it uses less digits than its factorization.

77008540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550077 (or 550075 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 77008540 is about 8775.4509855619. The cubic root of 77008540 is about 425.4478140254.

The spelling of 77008540 in words is "seventy-seven million, eight thousand, five hundred forty".