78337852321 has 9 divisors (see below), whose sum is σ = 82683512433. Its totient is φ = 74209769460.

The previous prime is 78337852301. The next prime is 78337852357. The reversal of 78337852321 is 12325873387.

The square root of 78337852321 is 279889.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 78337852321 - 2²³ = 78329463713 is a prime.

It is a super-2 number, since 2×78337852321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78337852301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5310526 + ... + 5325256.

It is an arithmetic number, because the mean of its divisors is an integer number (9187056937).

Almost surely, 2^78337852321 is an apocalyptic number.

78337852321 is the 279889-th square number.

78337852321 is the 139945-th centered octagonal number.

It is an amenable number.

78337852321 is a deficient number, since it is larger than the sum of its proper divisors (4345660112).

78337852321 is an frugal number, since it uses more digits than its factorization.

78337852321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29500 (or 14750 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 78337852321 by its sum of digits (49), we get a square (3838554763729 = 1959223²).

The spelling of 78337852321 in words is "seventy-eight billion, three hundred thirty-seven million, eight hundred fifty-two thousand, three hundred twenty-one".