7820365461 has 32 divisors (see below), whose sum is σ = 10815831936. Its totient is φ = 5022720000.

The previous prime is 7820365433. The next prime is 7820365471. The reversal of 7820365461 is 1645630287.

It is not a de Polignac number, because 7820365461 - 2²⁵ = 7786811029 is a prime.

It is a super-2 number, since 2×7820365461² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820365411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167526 + ... + 7168616.

It is an arithmetic number, because the mean of its divisors is an integer number (337994748).

Almost surely, 2^7820365461 is an apocalyptic number.

It is an amenable number.

7820365461 is a deficient number, since it is larger than the sum of its proper divisors (2995466475).

7820365461 is a wasteful number, since it uses less digits than its factorization.

7820365461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 7820365461 is about 88432.8302215868. The cubic root of 7820365461 is about 1984.9169924703.

The spelling of 7820365461 in words is "seven billion, eight hundred twenty million, three hundred sixty-five thousand, four hundred sixty-one".