768540500 has 288 divisors, whose sum is σ = 2230824960. Its totient is φ = 228614400.

The previous prime is 768540497. The next prime is 768540503. The reversal of 768540500 is 5045867.

It is an interprime number because it is at equal distance from previous prime (768540497) and next prime (768540503).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768540503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6051437 + ... + 6051563.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920).

Almost surely, 2^768540500 is an apocalyptic number.

768540500 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 768540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115412480).

768540500 is an abundant number, since it is smaller than the sum of its proper divisors (1462284460).

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

768540500 is a wasteful number, since it uses less digits than its factorization.

768540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 768540500 is about 27722.5630128240. The cubic root of 768540500 is about 915.9861763199.

The spelling of 768540500 in words is "seven hundred sixty-eight million, five hundred forty thousand, five hundred".