78094679040 has 1232 divisors, whose sum is σ = 332920804800. Its totient is φ = 17557585920.

The previous prime is 78094679011. The next prime is 78094679041. The reversal of 78094679040 is 4097649087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78094679041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1280240610 + ... + 1280240670.

Almost surely, 2^78094679040 is an apocalyptic number.

78094679040 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 78094679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166460402400).

78094679040 is an abundant number, since it is smaller than the sum of its proper divisors (254826125760).

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

78094679040 is an frugal number, since it uses more digits than its factorization.

78094679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 78094679040 in words is "seventy-eight billion, ninety-four million, six hundred seventy-nine thousand, forty".