7641792 has 42 divisors (see below), whose sum is σ = 21905468. Its totient is φ = 2547072.

The previous prime is 7641791. The next prime is 7641793. The reversal of 7641792 is 2971467.

It is a happy number.

7641792 is a `hidden beast` number, since 7 + 641 + 7 + 9 + 2 = 666.

7641792 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (7641791) and next prime (7641793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7641791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6058 + ... + 7209.

Almost surely, 2^7641792 is an apocalyptic number.

7641792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7641792 is an abundant number, since it is smaller than the sum of its proper divisors (14263676).

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

7641792 is a wasteful number, since it uses less digits than its factorization.

7641792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13272 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7641792 is about 2764.3791346340. The cubic root of 7641792 is about 196.9692377263.

It can be divided in two parts, 764 and 1792, that added together give a triangular number (2556 = T₇₁).

The spelling of 7641792 in words is "seven million, six hundred forty-one thousand, seven hundred ninety-two".