76608840 has 128 divisors (see below), whose sum is σ = 286571520. Its totient is φ = 15916800.

The previous prime is 76608827. The next prime is 76608853. The reversal of 76608840 is 4880667.

It is an interprime number because it is at equal distance from previous prime (76608827) and next prime (76608853).

It is a super-2 number, since 2×76608840² = 11737828732291200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5095 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (2238840).

Almost surely, 2^76608840 is an apocalyptic number.

76608840 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 76608840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143285760).

76608840 is an abundant number, since it is smaller than the sum of its proper divisors (209962680).

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

76608840 is a wasteful number, since it uses less digits than its factorization.

76608840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76608840 is about 8752.6475994410. The cubic root of 76608840 is about 424.7104648494.

The spelling of 76608840 in words is "seventy-six million, six hundred eight thousand, eight hundred forty".