78880965609600 has 1344 divisors, whose sum is σ = 364248896489280. Its totient is φ = 16390812672000.

The previous prime is 78880965609587. The next prime is 78880965609647. The reversal of 78880965609600 is 690656908887.

It is a happy number.

78880965609600 is a `hidden beast` number, since 7 + 8 + 8 + 8 + 0 + 9 + 6 + 5 + 6 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×78880965609600² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 179406030 + ... + 179845170.

Almost surely, 2^{78880965609600} is an apocalyptic number.

78880965609600 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 78880965609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182124448244640).

78880965609600 is an abundant number, since it is smaller than the sum of its proper divisors (285367930879680).

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

78880965609600 is a wasteful number, since it uses less digits than its factorization.

78880965609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439201 (or 439169 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 78880965609600 in words is "seventy-eight trillion, eight hundred eighty billion, nine hundred sixty-five million, six hundred nine thousand, six hundred".