77827640 has 64 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 27930240.

The previous prime is 77827637. The next prime is 77827657. The reversal of 77827640 is 4672877.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33641 + ... + 35879.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^77827640 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 77827640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

77827640 is an abundant number, since it is smaller than the sum of its proper divisors (115708360).

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

77827640 is a wasteful number, since it uses less digits than its factorization.

77827640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 77827640 is about 8821.9975062341. The cubic root of 77827640 is about 426.9509200665.

The spelling of 77827640 in words is "seventy-seven million, eight hundred twenty-seven thousand, six hundred forty".