76606040 has 64 divisors (see below), whose sum is σ = 201821760. Its totient is φ = 25620480.

The previous prime is 76606007. The next prime is 76606067. The reversal of 76606040 is 4060667.

It is a junction number, because it is equal to n+sod(n) for n = 76605994 and 76606012.

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 15 ways as a sum of consecutive naturals, for example, 8144 + ... + 14816.

It is an arithmetic number, because the mean of its divisors is an integer number (3153465).

Almost surely, 2^76606040 is an apocalyptic number.

76606040 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 76606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100910880).

76606040 is an abundant number, since it is smaller than the sum of its proper divisors (125215720).

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

76606040 is a wasteful number, since it uses less digits than its factorization.

76606040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 76606040 is about 8752.4876463780. The cubic root of 76606040 is about 424.7052904953.

The spelling of 76606040 in words is "seventy-six million, six hundred six thousand, forty".