7680824700 has 144 divisors (see below), whose sum is σ = 23397002496. Its totient is φ = 1941632000.

The previous prime is 7680824687. The next prime is 7680824719. The reversal of 7680824700 is 74280867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774775 + ... + 784625.

It is an arithmetic number, because the mean of its divisors is an integer number (162479184).

Almost surely, 2^7680824700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680824700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698501248).

7680824700 is an abundant number, since it is smaller than the sum of its proper divisors (15716177796).

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

7680824700 is a wasteful number, since it uses less digits than its factorization.

7680824700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7680824700 is about 87640.3143536124. The cubic root of 7680824700 is about 1973.0402779470.

The spelling of 7680824700 in words is "seven billion, six hundred eighty million, eight hundred twenty-four thousand, seven hundred".