770267106 has 192 divisors, whose sum is σ = 2113413120. Its totient is φ = 197821440.

The previous prime is 770267101. The next prime is 770267117. The reversal of 770267106 is 601762077.

It is a super-2 number, since 2×770267106² = 1186622829171230472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (770267101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7198705 + ... + 7198811.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^770267106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770267106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

770267106 is an abundant number, since it is smaller than the sum of its proper divisors (1343146014).

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

770267106 is a wasteful number, since it uses less digits than its factorization.

770267106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 770267106 is about 27753.6863497446. The cubic root of 770267106 is about 916.6716159439.

The spelling of 770267106 in words is "seven hundred seventy million, two hundred sixty-seven thousand, one hundred six".