78191673000 has 512 divisors, whose sum is σ = 287905812480. Its totient is φ = 17297280000.

The previous prime is 78191672989. The next prime is 78191673019. The reversal of 78191673000 is 37619187.

It is a super-2 number, since 2×78191673000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 118292670 + ... + 118293330.

It is an arithmetic number, because the mean of its divisors is an integer number (562316040).

Almost surely, 2^78191673000 is an apocalyptic number.

78191673000 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 78191673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143952906240).

78191673000 is an abundant number, since it is smaller than the sum of its proper divisors (209714139480).

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

78191673000 is a wasteful number, since it uses less digits than its factorization.

78191673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 78191673000 in words is "seventy-eight billion, one hundred ninety-one million, six hundred seventy-three thousand".