768862080 has 192 divisors, whose sum is σ = 3034418400. Its totient is φ = 175730688.

The previous prime is 768862063. The next prime is 768862121. The reversal of 768862080 is 80268867.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×768862080² = 1182297796123852800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30786 + ... + 49854.

Almost surely, 2^768862080 is an apocalyptic number.

768862080 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 768862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517209200).

768862080 is an abundant number, since it is smaller than the sum of its proper divisors (2265556320).

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

768862080 is a wasteful number, since it uses less digits than its factorization.

768862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 768862080 is about 27728.3623750123. The cubic root of 768862080 is about 916.1139170439.

The spelling of 768862080 in words is "seven hundred sixty-eight million, eight hundred sixty-two thousand, eighty".