7820813016 has 48 divisors (see below), whose sum is σ = 21479711760. Its totient is φ = 2570218560.

The previous prime is 7820813009. The next prime is 7820813023. The reversal of 7820813016 is 6103180287.

It is an interprime number because it is at equal distance from previous prime (7820813009) and next prime (7820813023).

It is a super-2 number, since 2×7820813016² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759835 + ... + 770058.

It is an arithmetic number, because the mean of its divisors is an integer number (447493995).

Almost surely, 2^7820813016 is an apocalyptic number.

It is an amenable number.

7820813016 is an abundant number, since it is smaller than the sum of its proper divisors (13658898744).

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

7820813016 is a wasteful number, since it uses less digits than its factorization.

7820813016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529976 (or 1529969 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7820813016 is about 88435.3606652904. The cubic root of 7820813016 is about 1984.9548569658.

It can be divided in two parts, 7820 and 813016, that added together give a square (820836 = 906²).

The spelling of 7820813016 in words is "seven billion, eight hundred twenty million, eight hundred thirteen thousand, sixteen".