768862000 has 80 divisors (see below), whose sum is σ = 1919234304. Its totient is φ = 297600000.

The previous prime is 768861991. The next prime is 768862027. The reversal of 768862000 is 268867.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×768862000² = 1182297550088000000, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55800 + ... + 68200.

Almost surely, 2^768862000 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 768862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959617152).

768862000 is an abundant number, since it is smaller than the sum of its proper divisors (1150372304).

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

768862000 is a wasteful number, since it uses less digits than its factorization.

768862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 768862000 is about 27728.3609324460. The cubic root of 768862000 is about 916.1138852700.

The spelling of 768862000 in words is "seven hundred sixty-eight million, eight hundred sixty-two thousand".