768472537 has 24 divisors (see below), whose sum is σ = 973468800. Its totient is φ = 602483616.

The previous prime is 768472517. The next prime is 768472559. The reversal of 768472537 is 735274867.

It is a happy number.

It is not a de Polignac number, because 768472537 - 2¹⁵ = 768439769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (768472517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12768 + ... + 41230.

It is an arithmetic number, because the mean of its divisors is an integer number (40561200).

Almost surely, 2^768472537 is an apocalyptic number.

It is an amenable number.

768472537 is a deficient number, since it is larger than the sum of its proper divisors (204996263).

768472537 is a wasteful number, since it uses less digits than its factorization.

768472537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28525 (or 28518 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 49.

The square root of 768472537 is about 27721.3372152211. The cubic root of 768472537 is about 915.9591749220.

The spelling of 768472537 in words is "seven hundred sixty-eight million, four hundred seventy-two thousand, five hundred thirty-seven".