76144640 has 168 divisors, whose sum is σ = 215862408. Its totient is φ = 25559040.

The previous prime is 76144567. The next prime is 76144657. The reversal of 76144640 is 4644167.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 76144597 and 76144606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5857274 + ... + 5857286.

Almost surely, 2^76144640 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 76144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107931204).

76144640 is an abundant number, since it is smaller than the sum of its proper divisors (139717768).

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

76144640 is a wasteful number, since it uses less digits than its factorization.

76144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 76144640 is about 8726.0896167757. The cubic root of 76144640 is about 423.8509028398.

The spelling of 76144640 in words is "seventy-six million, one hundred forty-four thousand, six hundred forty".