76628160 has 336 divisors, whose sum is σ = 316199520. Its totient is φ = 17418240.

The previous prime is 76628143. The next prime is 76628171. The reversal of 76628160 is 6182667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 423270 + ... + 423450.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^76628160 is an apocalyptic number.

76628160 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 76628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099760).

76628160 is an abundant number, since it is smaller than the sum of its proper divisors (239571360).

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

76628160 is a wasteful number, since it uses less digits than its factorization.

76628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76628160 is about 8753.7511959160. The cubic root of 76628160 is about 424.7461644566.

The spelling of 76628160 in words is "seventy-six million, six hundred twenty-eight thousand, one hundred sixty".