768372696 has 384 divisors, whose sum is σ = 2754662400. Its totient is φ = 194088960.

The previous prime is 768372667. The next prime is 768372701. The reversal of 768372696 is 696273867.

It is a super-4 number, since 4×768372696⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7921320 + ... + 7921416.

It is an arithmetic number, because the mean of its divisors is an integer number (7173600).

Almost surely, 2^768372696 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 768372696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377331200).

768372696 is an abundant number, since it is smaller than the sum of its proper divisors (1986289704).

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

768372696 is a wasteful number, since it uses less digits than its factorization.

768372696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 768372696 is about 27719.5363597590. The cubic root of 768372696 is about 915.9195056489.

The spelling of 768372696 in words is "seven hundred sixty-eight million, three hundred seventy-two thousand, six hundred ninety-six".