78382080000 has 1120 divisors, whose sum is σ = 335744027520. Its totient is φ = 17915904000.

The previous prime is 78382079981. The next prime is 78382080043. The reversal of 78382080000 is 8028387.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×78382080000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 11197439997 + ... + 11197440003.

Almost surely, 2^78382080000 is an apocalyptic number.

78382080000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78382080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167872013760).

78382080000 is an abundant number, since it is smaller than the sum of its proper divisors (257361947520).

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

78382080000 is an frugal number, since it uses more digits than its factorization.

78382080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 78382080000 in words is "seventy-eight billion, three hundred eighty-two million, eighty thousand".