78492279096000 has 5376 divisors, whose sum is σ = 401742473932800. Its totient is φ = 14523826176000.

The previous prime is 78492279095977. The next prime is 78492279096001. The reversal of 78492279096000 is 69097229487.

78492279096000 is a `hidden beast` number, since 78 + 492 + 2 + 79 + 0 + 9 + 6 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×78492279096000² (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 not an unprimeable number, because it can be changed into a prime (78492279096001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 102070583616 + ... + 102070584384.

It is an arithmetic number, because the mean of its divisors is an integer number (74728882800).

Almost surely, 2^{78492279096000} is an apocalyptic number.

78492279096000 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 78492279096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200871236966400).

78492279096000 is an abundant number, since it is smaller than the sum of its proper divisors (323250194836800).

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

78492279096000 is a wasteful number, since it uses less digits than its factorization.

78492279096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 78492279096000 in words is "seventy-eight trillion, four hundred ninety-two billion, two hundred seventy-nine million, ninety-six thousand".