76765140 has 72 divisors (see below), whose sum is σ = 233637768. Its totient is φ = 20401920.

The previous prime is 76765109. The next prime is 76765141. The reversal of 76765140 is 4156767.

76765140 is a `hidden beast` number, since 76 + 76 + 514 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 64738116 = 3468^2 + 8046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76765095 and 76765104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76765141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75274 + ... + 76286.

It is an arithmetic number, because the mean of its divisors is an integer number (3244969).

Almost surely, 2^76765140 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 76765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116818884).

76765140 is an abundant number, since it is smaller than the sum of its proper divisors (156872628).

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

76765140 is a wasteful number, since it uses less digits than its factorization.

76765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 76765140 is about 8761.5717767990. The cubic root of 76765140 is about 424.9991049577. Note that the first 3 decimals are identical.

The spelling of 76765140 in words is "seventy-six million, seven hundred sixty-five thousand, one hundred forty".