78451195576320 has 1224 divisors, whose sum is σ = 328097543757984. Its totient is φ = 17930810032128.

The previous prime is 78451195576301. The next prime is 78451195576487. The reversal of 78451195576320 is 2367559115487.

78451195576320 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 1 + 19 + 557 + 63 + 2 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3901675707 + ... + 3901695813.

It is a 1-persistent number, because it is pandigital, but 2⋅78451195576320 = 156902391152640 is not.

Almost surely, 2^{78451195576320} is an apocalyptic number.

78451195576320 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 78451195576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164048771878992).

78451195576320 is an abundant number, since it is smaller than the sum of its proper divisors (249646348181664).

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

78451195576320 is an frugal number, since it uses more digits than its factorization.

78451195576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 78451195576320 in words is "seventy-eight trillion, four hundred fifty-one billion, one hundred ninety-five million, five hundred seventy-six thousand, three hundred twenty".