76784160 has 96 divisors (see below), whose sum is σ = 243093312. Its totient is φ = 20372480.

The previous prime is 76784137. The next prime is 76784161. The reversal of 76784160 is 6148767.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (76784161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166330 + ... + 166790.

It is an arithmetic number, because the mean of its divisors is an integer number (2532222).

Almost surely, 2^76784160 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 76784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121546656).

76784160 is an abundant number, since it is smaller than the sum of its proper divisors (166309152).

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

76784160 is a wasteful number, since it uses less digits than its factorization.

76784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 76784160 is about 8762.6571312588. The cubic root of 76784160 is about 425.0342025531.

The spelling of 76784160 in words is "seventy-six million, seven hundred eighty-four thousand, one hundred sixty".