765477216 has 360 divisors, whose sum is σ = 2697766344. Its totient is φ = 213373440.

The previous prime is 765477161. The next prime is 765477217. The reversal of 765477216 is 612774567.

It is a super-2 number, since 2×765477216² = 1171910736430221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765477217) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18670156 + ... + 18670196.

Almost surely, 2^765477216 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 765477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348883172).

765477216 is an abundant number, since it is smaller than the sum of its proper divisors (1932289128).

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

765477216 is an frugal number, since it uses more digits than its factorization.

765477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 765477216 is about 27667.2589173557. The cubic root of 765477216 is about 914.7675625660.

The spelling of 765477216 in words is "seven hundred sixty-five million, four hundred seventy-seven thousand, two hundred sixteen".