76067640 has 256 divisors, whose sum is σ = 292032000. Its totient is φ = 17418240.

The previous prime is 76067633. The next prime is 76067653. The reversal of 76067640 is 4676067.

76067640 is a `hidden beast` number, since 7 + 6 + 0 + 6 + 7 + 640 = 666.

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 = 76067595 and 76067604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225552 + ... + 225888.

It is an arithmetic number, because the mean of its divisors is an integer number (1140750).

Almost surely, 2^76067640 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 76067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

76067640 is an abundant number, since it is smaller than the sum of its proper divisors (215964360).

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

76067640 is a wasteful number, since it uses less digits than its factorization.

76067640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76067640 is about 8721.6764443540. The cubic root of 76067640 is about 423.7079839303.

The spelling of 76067640 in words is "seventy-six million, sixty-seven thousand, six hundred forty".