770757120 has 560 divisors, whose sum is σ = 3220240320. Its totient is φ = 173187072.

The previous prime is 770757109. The next prime is 770757121. The reversal of 770757120 is 21757077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (770757121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063651 + ... + 13063709.

Almost surely, 2^770757120 is an apocalyptic number.

770757120 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 770757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610120160).

770757120 is an abundant number, since it is smaller than the sum of its proper divisors (2449483200).

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

770757120 is an frugal number, since it uses more digits than its factorization.

770757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 770757120 is about 27762.5128545670. The cubic root of 770757120 is about 916.8659583587.

The spelling of 770757120 in words is "seven hundred seventy million, seven hundred fifty-seven thousand, one hundred twenty".