77054040 has 96 divisors (see below), whose sum is σ = 286210080. Its totient is φ = 17611776.

The previous prime is 77054023. The next prime is 77054051. The reversal of 77054040 is 4045077.

It is a junction number, because it is equal to n+sod(n) for n = 77053995 and 77054013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12769 + ... + 17808.

It is an arithmetic number, because the mean of its divisors is an integer number (2981355).

Almost surely, 2^77054040 is an apocalyptic number.

77054040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77054040 is an abundant number, since it is smaller than the sum of its proper divisors (209156040).

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

77054040 is a wasteful number, since it uses less digits than its factorization.

77054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30601 (or 30594 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 77054040 is about 8778.0430620953. The cubic root of 77054040 is about 425.5315885622.

The spelling of 77054040 in words is "seventy-seven million, fifty-four thousand, forty".