76141440 has 96 divisors (see below), whose sum is σ = 262945800. Its totient is φ = 20302848.

The previous prime is 76141427. The next prime is 76141441. The reversal of 76141440 is 4414167.

76141440 is a `hidden beast` number, since 7 + 614 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×76141440⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76141441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850 + ... + 12369.

Almost surely, 2^76141440 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 76141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472900).

76141440 is an abundant number, since it is smaller than the sum of its proper divisors (186804360).

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

76141440 is a wasteful number, since it uses less digits than its factorization.

76141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76141440 is about 8725.9062566590. The cubic root of 76141440 is about 423.8449652720.

The spelling of 76141440 in words is "seventy-six million, one hundred forty-one thousand, four hundred forty".