770523840 has 252 divisors, whose sum is σ = 2759573856. Its totient is φ = 204913152.

The previous prime is 770523839. The next prime is 770523841. The reversal of 770523840 is 48325077.

It is an interprime number because it is at equal distance from previous prime (770523839) and next prime (770523841).

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

It is a junction number, because it is equal to n+sod(n) for n = 770523795 and 770523804.

It is not an unprimeable number, because it can be changed into a prime (770523841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099337 + ... + 2099703.

Almost surely, 2^770523840 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 770523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379786928).

770523840 is an abundant number, since it is smaller than the sum of its proper divisors (1989050016).

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

770523840 is an frugal number, since it uses more digits than its factorization.

770523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 770523840 is about 27758.3111878226. The cubic root of 770523840 is about 916.7734484238.

The spelling of 770523840 in words is "seven hundred seventy million, five hundred twenty-three thousand, eight hundred forty".