766676112 has 120 divisors (see below), whose sum is σ = 2138154816. Its totient is φ = 236104704.

The previous prime is 766676107. The next prime is 766676117. The reversal of 766676112 is 211676667.

It is an interprime number because it is at equal distance from previous prime (766676107) and next prime (766676117).

It is a super-2 number, since 2×766676112² = 1175584521422873088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (766676117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5596108 + ... + 5596244.

Almost surely, 2^766676112 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 766676112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069077408).

766676112 is an abundant number, since it is smaller than the sum of its proper divisors (1371478704).

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

766676112 is a wasteful number, since it uses less digits than its factorization.

766676112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 202 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 766676112 is about 27688.9167718782. The cubic root of 766676112 is about 915.2448853338.

The spelling of 766676112 in words is "seven hundred sixty-six million, six hundred seventy-six thousand, one hundred twelve".