77765140 has 48 divisors (see below), whose sum is σ = 173686464. Its totient is φ = 29145600.

The previous prime is 77765111. The next prime is 77765141. The reversal of 77765140 is 4156777.

It is a self number, because there is not a number n which added to its sum of digits gives 77765140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77765141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112195 + ... + 112885.

It is an arithmetic number, because the mean of its divisors is an integer number (3618468).

Almost surely, 2^77765140 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 77765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86843232).

77765140 is an abundant number, since it is smaller than the sum of its proper divisors (95921324).

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

77765140 is a wasteful number, since it uses less digits than its factorization.

77765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 77765140 is about 8818.4545131219. The cubic root of 77765140 is about 426.8366008746.

The spelling of 77765140 in words is "seventy-seven million, seven hundred sixty-five thousand, one hundred forty".