768857130 has 128 divisors (see below), whose sum is σ = 2184744960. Its totient is φ = 191738880.

The previous prime is 768857123. The next prime is 768857171. The reversal of 768857130 is 31758867.

768857130 is a `hidden beast` number, since 76 + 8 + 8 + 571 + 3 + 0 = 666.

It is a super-2 number, since 2×768857130² = 1182282572703673800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876252 + ... + 877128.

It is an arithmetic number, because the mean of its divisors is an integer number (17068320).

Almost surely, 2^768857130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768857130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092372480).

768857130 is an abundant number, since it is smaller than the sum of its proper divisors (1415887830).

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

768857130 is a wasteful number, since it uses less digits than its factorization.

768857130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 768857130 is about 27728.2731160814. The cubic root of 768857130 is about 916.1119510330. Note that the first 3 decimals are identical.

The spelling of 768857130 in words is "seven hundred sixty-eight million, eight hundred fifty-seven thousand, one hundred thirty".