77627540 has 48 divisors (see below), whose sum is σ = 174216000. Its totient is φ = 28968192.

The previous prime is 77627531. The next prime is 77627581. The reversal of 77627540 is 4572677.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 77627494 and 77627503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23936 + ... + 26984.

It is an arithmetic number, because the mean of its divisors is an integer number (3629500).

Almost surely, 2^77627540 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 77627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87108000).

77627540 is an abundant number, since it is smaller than the sum of its proper divisors (96588460).

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

77627540 is a wasteful number, since it uses less digits than its factorization.

77627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 77627540 is about 8810.6492382798. The cubic root of 77627540 is about 426.5846996949.

The spelling of 77627540 in words is "seventy-seven million, six hundred twenty-seven thousand, five hundred forty".