768770352 has 240 divisors, whose sum is σ = 2608499712. Its totient is φ = 214617600.

The previous prime is 768770329. The next prime is 768770357. The reversal of 768770352 is 253077867.

It is a super-2 number, since 2×768770352² = 1182015708228407808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768770298 and 768770307.

It is not an unprimeable number, because it can be changed into a prime (768770357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278852 + ... + 1279452.

Almost surely, 2^768770352 is an apocalyptic number.

768770352 is a gapful number since it is divisible by the number (72) 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 768770352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304249856).

768770352 is an abundant number, since it is smaller than the sum of its proper divisors (1839729360).

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

768770352 is a wasteful number, since it uses less digits than its factorization.

768770352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 768770352 is about 27726.7082792026. The cubic root of 768770352 is about 916.0774837044.

The spelling of 768770352 in words is "seven hundred sixty-eight million, seven hundred seventy thousand, three hundred fifty-two".