78809884564320 has 2304 divisors, whose sum is σ = 358705382031360. Its totient is φ = 15293409804288.

The previous prime is 78809884564277. The next prime is 78809884564373. The reversal of 78809884564320 is 2346548890887.

78809884564320 is a `hidden beast` number, since 7 + 8 + 80 + 98 + 8 + 456 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14861374789 + ... + 14861380091.

It is an arithmetic number, because the mean of its divisors is an integer number (155688099840).

Almost surely, 2^{78809884564320} is an apocalyptic number.

78809884564320 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 78809884564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352691015680).

78809884564320 is an abundant number, since it is smaller than the sum of its proper divisors (279895497467040).

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

78809884564320 is a wasteful number, since it uses less digits than its factorization.

78809884564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 78809884564320 in words is "seventy-eight trillion, eight hundred nine billion, eight hundred eighty-four million, five hundred sixty-four thousand, three hundred twenty".