76476960 has 288 divisors, whose sum is σ = 310407552. Its totient is φ = 17418240.

The previous prime is 76476937. The next prime is 76476989. The reversal of 76476960 is 6967467.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

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 47 ways as a sum of consecutive naturals, for example, 272020 + ... + 272300.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^76476960 is an apocalyptic number.

76476960 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 76476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155203776).

76476960 is an abundant number, since it is smaller than the sum of its proper divisors (233930592).

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

76476960 is a wasteful number, since it uses less digits than its factorization.

76476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 76476960 is about 8745.1106339485. The cubic root of 76476960 is about 424.4666157617.

The spelling of 76476960 in words is "seventy-six million, four hundred seventy-six thousand, nine hundred sixty".