78178401024 has 288 divisors, whose sum is σ = 228451829760. Its totient is φ = 23627366400.

The previous prime is 78178401019. The next prime is 78178401071. The reversal of 78178401024 is 42010487187.

It is a super-2 number, since 2×78178401024² (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 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 31 ways as a sum of consecutive naturals, for example, 169584154 + ... + 169584614.

It is an arithmetic number, because the mean of its divisors is an integer number (793235520).

Almost surely, 2^78178401024 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 78178401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114225914880).

78178401024 is an abundant number, since it is smaller than the sum of its proper divisors (150273428736).

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

78178401024 is a wasteful number, since it uses less digits than its factorization.

78178401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 78178401024 in words is "seventy-eight billion, one hundred seventy-eight million, four hundred one thousand, twenty-four".