768001500 has 504 divisors, whose sum is σ = 2993438448. Its totient is φ = 171460800.

The previous prime is 768001499. The next prime is 768001511. The reversal of 768001500 is 5100867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 17860479 + ... + 17860521.

It is an arithmetic number, because the mean of its divisors is an integer number (5939362).

Almost surely, 2^768001500 is an apocalyptic number.

768001500 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 768001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496719224).

768001500 is an abundant number, since it is smaller than the sum of its proper divisors (2225436948).

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

768001500 is a wasteful number, since it uses less digits than its factorization.

768001500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 768001500 is about 27712.8399843827. The cubic root of 768001500 is about 915.7719902476.

The spelling of 768001500 in words is "seven hundred sixty-eight million, one thousand, five hundred".