4012578765 has 96 divisors (see below), whose sum is σ = 8204807520. Its totient is φ = 1794981888.

The previous prime is 4012578763. The next prime is 4012578767. The reversal of 4012578765 is 5678752104.

4012578765 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 578 + 76 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4012578763) and next prime (4012578767).

It can be written as a sum of positive squares in 16 ways, for example, as 683404164 + 3329174601 = 26142^2 + 57699^2 .

It is not a de Polignac number, because 4012578765 - 2¹ = 4012578763 is a prime.

It is a super-2 number, since 2×4012578765² = 32201576690657850450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4012578765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012578763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281449 + ... + 295361.

It is an arithmetic number, because the mean of its divisors is an integer number (85466745).

Almost surely, 2^4012578765 is an apocalyptic number.

4012578765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4012578765 is an abundant number, since it is smaller than the sum of its proper divisors (4192228755).

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

4012578765 is a wasteful number, since it uses less digits than its factorization.

4012578765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4012578765 is about 63344.9190148665. The cubic root of 4012578765 is about 1589.0632728595.

The spelling of 4012578765 in words is "four billion, twelve million, five hundred seventy-eight thousand, seven hundred sixty-five".