78219112932576 has 864 divisors, whose sum is σ = 305023903591680. Its totient is φ = 19247324405760.

The previous prime is 78219112932559. The next prime is 78219112932659. The reversal of 78219112932576 is 67523921191287.

It is a happy number.

78219112932576 is a `hidden beast` number, since 7 + 8 + 2 + 1 + 9 + 1 + 1 + 29 + 32 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×78219112932576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124826640 + ... + 125451696.

Almost surely, 2^{78219112932576} is an apocalyptic number.

78219112932576 is a gapful number since it is divisible by the number (76) 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 78219112932576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152511951795840).

78219112932576 is an abundant number, since it is smaller than the sum of its proper divisors (226804790659104).

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

78219112932576 is a wasteful number, since it uses less digits than its factorization.

78219112932576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625130 (or 625099 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 78219112932576 in words is "seventy-eight trillion, two hundred nineteen billion, one hundred twelve million, nine hundred thirty-two thousand, five hundred seventy-six".