768397536 has 48 divisors (see below), whose sum is σ = 2241162000. Its totient is φ = 256132224.

The previous prime is 768397499. The next prime is 768397583. The reversal of 768397536 is 635793867.

768397536 is a `hidden beast` number, since 76 + 8 + 39 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443811 + ... + 445538.

It is an arithmetic number, because the mean of its divisors is an integer number (46690875).

Almost surely, 2^768397536 is an apocalyptic number.

It is an amenable number.

768397536 is an abundant number, since it is smaller than the sum of its proper divisors (1472764464).

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

768397536 is a wasteful number, since it uses less digits than its factorization.

768397536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889368 (or 889354 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 768397536 is about 27719.9844155800. The cubic root of 768397536 is about 915.9293755100.

The spelling of 768397536 in words is "seven hundred sixty-eight million, three hundred ninety-seven thousand, five hundred thirty-six".