78940603764000 has 2304 divisors, whose sum is σ = 316347997754880. Its totient is φ = 18636896256000.

The previous prime is 78940603763971. The next prime is 78940603764037. The reversal of 78940603764000 is 46730604987.

It is a happy number.

78940603764000 is a `hidden beast` number, since 78 + 9 + 40 + 60 + 3 + 76 + 400 + 0 = 666.

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, 456304067914 + ... + 456304068086.

It is an arithmetic number, because the mean of its divisors is an integer number (137303818470).

Almost surely, 2^{78940603764000} 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 78940603764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158173998877440).

78940603764000 is an abundant number, since it is smaller than the sum of its proper divisors (237407393990880).

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

78940603764000 is a wasteful number, since it uses less digits than its factorization.

78940603764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 78940603764000 in words is "seventy-eight trillion, nine hundred forty billion, six hundred three million, seven hundred sixty-four thousand".