76782096 has 120 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 24127488.

The previous prime is 76782077. The next prime is 76782131. The reversal of 76782096 is 69028767.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321145 + ... + 321383.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^76782096 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 76782096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

76782096 is an abundant number, since it is smaller than the sum of its proper divisors (150703344).

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

76782096 is a wasteful number, since it uses less digits than its factorization.

76782096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 76782096 is about 8762.5393579715. The cubic root of 76782096 is about 425.0303941354.

The spelling of 76782096 in words is "seventy-six million, seven hundred eighty-two thousand, ninety-six".