78334072254672 has 320 divisors, whose sum is σ = 240829985894400. Its totient is φ = 21694292877312.

The previous prime is 78334072254653. The next prime is 78334072254673. The reversal of 78334072254672 is 27645227043387.

It is a super-2 number, since 2×78334072254672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78334072254673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317239883 + ... + 1317299349.

It is an arithmetic number, because the mean of its divisors is an integer number (752593705920).

Almost surely, 2^{78334072254672} 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 78334072254672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120414992947200).

78334072254672 is an abundant number, since it is smaller than the sum of its proper divisors (162495913639728).

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

78334072254672 is a wasteful number, since it uses less digits than its factorization.

78334072254672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64930 (or 64924 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 60.

The spelling of 78334072254672 in words is "seventy-eight trillion, three hundred thirty-four billion, seventy-two million, two hundred fifty-four thousand, six hundred seventy-two".