76047840 has 144 divisors (see below), whose sum is σ = 283164336. Its totient is φ = 18432000.

The previous prime is 76047809. The next prime is 76047841. The reversal of 76047840 is 4874067.

It is a happy number.

76047840 is a `hidden beast` number, since 7 + 604 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 76047795 and 76047804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76047841) 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, 13440 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (1966419).

Almost surely, 2^76047840 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 76047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141582168).

76047840 is an abundant number, since it is smaller than the sum of its proper divisors (207116496).

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

76047840 is a wasteful number, since it uses less digits than its factorization.

76047840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76047840 is about 8720.5412676049. The cubic root of 76047840 is about 423.6712177658.

The spelling of 76047840 in words is "seventy-six million, forty-seven thousand, eight hundred forty".