76940640 has 288 divisors, whose sum is σ = 318427200. Its totient is φ = 16515072.

The previous prime is 76940639. The next prime is 76940651. The reversal of 76940640 is 4604967.

76940640 is a `hidden beast` number, since 7 + 6 + 9 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 76940595 and 76940604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171136 + ... + 171584.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^76940640 is an apocalyptic number.

76940640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

76940640 is an abundant number, since it is smaller than the sum of its proper divisors (241486560).

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

76940640 is a wasteful number, since it uses less digits than its factorization.

76940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76940640 is about 8771.5813853603. The cubic root of 76940640 is about 425.3227352524.

The spelling of 76940640 in words is "seventy-six million, nine hundred forty thousand, six hundred forty".