78206019840 has 864 divisors, whose sum is σ = 303737091840. Its totient is φ = 18456182784.

The previous prime is 78206019799. The next prime is 78206019847. The reversal of 78206019840 is 4891060287.

It is a super-2 number, since 2×78206019840² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78206019847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 468299437 + ... + 468299603.

It is an arithmetic number, because the mean of its divisors is an integer number (351547560).

Almost surely, 2^78206019840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78206019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151868545920).

78206019840 is an abundant number, since it is smaller than the sum of its proper divisors (225531072000).

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

78206019840 is a wasteful number, since it uses less digits than its factorization.

78206019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 78206019840 in words is "seventy-eight billion, two hundred six million, nineteen thousand, eight hundred forty".