768120624 has 80 divisors (see below), whose sum is σ = 2251760640. Its totient is φ = 250585920.

The previous prime is 768120607. The next prime is 768120631. The reversal of 768120624 is 426021867.

768120624 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 20 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (28147008).

Almost surely, 2^768120624 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 768120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125880320).

768120624 is an abundant number, since it is smaller than the sum of its proper divisors (1483640016).

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

768120624 is a wasteful number, since it uses less digits than its factorization.

768120624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37895 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 768120624 is about 27714.9891574938. The cubic root of 768120624 is about 915.8193359810.

The spelling of 768120624 in words is "seven hundred sixty-eight million, one hundred twenty thousand, six hundred twenty-four".