768035772 has 72 divisors (see below), whose sum is σ = 2228626400. Its totient is φ = 218464128.

The previous prime is 768035767. The next prime is 768035777. The reversal of 768035772 is 277530867.

768035772 is a `hidden beast` number, since 76 + 8 + 0 + 3 + 577 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (768035767) and next prime (768035777).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768035777) 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, 51054 + ... + 64362.

Almost surely, 2^768035772 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 768035772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114313200).

768035772 is an abundant number, since it is smaller than the sum of its proper divisors (1460590628).

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

768035772 is a wasteful number, since it uses less digits than its factorization.

768035772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555 (or 13550 counting only the distinct ones).

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

The square root of 768035772 is about 27713.4583190189. The cubic root of 768035772 is about 915.7856121267.

The spelling of 768035772 in words is "seven hundred sixty-eight million, thirty-five thousand, seven hundred seventy-two".