76642416 has 160 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 24053760.

The previous prime is 76642411. The next prime is 76642421. The reversal of 76642416 is 61424667.

76642416 is a `hidden beast` number, since 7 + 6 + 642 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (76642411) and next prime (76642421).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76642411) by changing a digit.

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, 790080 + ... + 790176.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^76642416 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 76642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

76642416 is an abundant number, since it is smaller than the sum of its proper divisors (156675984).

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

76642416 is a wasteful number, since it uses less digits than its factorization.

76642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 76642416 is about 8754.5654375303. The cubic root of 76642416 is about 424.7725029283.

The spelling of 76642416 in words is "seventy-six million, six hundred forty-two thousand, four hundred sixteen".