78193512 has 192 divisors, whose sum is σ = 242424000. Its totient is φ = 23514624.

The previous prime is 78193471. The next prime is 78193529. The reversal of 78193512 is 21539187.

It is a super-2 number, since 2×78193512² = 12228450637788288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

Its product of digits (15120) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071108 + ... + 1071180.

It is an arithmetic number, because the mean of its divisors is an integer number (1262625).

Almost surely, 2^78193512 is an apocalyptic number.

78193512 is a gapful number since it is divisible by the number (72) 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 78193512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121212000).

78193512 is an abundant number, since it is smaller than the sum of its proper divisors (164230488).

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

78193512 is a wasteful number, since it uses less digits than its factorization.

78193512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 78193512 is about 8842.7095395020. The cubic root of 78193512 is about 427.6189142879.

The spelling of 78193512 in words is "seventy-eight million, one hundred ninety-three thousand, five hundred twelve".