770109120 has 560 divisors, whose sum is σ = 3111264288. Its totient is φ = 179159040.

The previous prime is 770109113. The next prime is 770109127. The reversal of 770109120 is 21901077.

It is an interprime number because it is at equal distance from previous prime (770109113) and next prime (770109127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (770109127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549404 + ... + 10549476.

Almost surely, 2^770109120 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 770109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555632144).

770109120 is an abundant number, since it is smaller than the sum of its proper divisors (2341155168).

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

770109120 is a wasteful number, since it uses less digits than its factorization.

770109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 770109120 is about 27750.8399872869. The cubic root of 770109120 is about 916.6089402032.

The spelling of 770109120 in words is "seven hundred seventy million, one hundred nine thousand, one hundred twenty".