768801600 has 504 divisors, whose sum is σ = 3242828160. Its totient is φ = 169021440.

The previous prime is 768801587. The next prime is 768801613. The reversal of 768801600 is 6108867.

It is an interprime number because it is at equal distance from previous prime (768801587) and next prime (768801613).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2923069 + ... + 2923331.

Almost surely, 2^768801600 is an apocalyptic number.

768801600 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 768801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621414080).

768801600 is an abundant number, since it is smaller than the sum of its proper divisors (2474026560).

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

768801600 is a wasteful number, since it uses less digits than its factorization.

768801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 768801600 is about 27727.2717734724. The cubic root of 768801600 is about 916.0898953873.

The spelling of 768801600 in words is "seven hundred sixty-eight million, eight hundred one thousand, six hundred".