768950000 has 240 divisors, whose sum is σ = 2305477440. Its totient is φ = 243360000.

The previous prime is 768949999. The next prime is 768950003. The reversal of 768950000 is 59867.

768950000 = T₄₂₆ + T₄₂₇ + ... + T₁₆₇₃.

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 (768950003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59149994 + ... + 59150006.

It is an arithmetic number, because the mean of its divisors is an integer number (9606156).

Almost surely, 2^768950000 is an apocalyptic number.

768950000 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 768950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152738720).

768950000 is an abundant number, since it is smaller than the sum of its proper divisors (1536527440).

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

768950000 is an frugal number, since it uses more digits than its factorization.

768950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 768950000 is about 27729.9477100120. The cubic root of 768950000 is about 916.1488351684.

The spelling of 768950000 in words is "seven hundred sixty-eight million, nine hundred fifty thousand".