79945850880 has 896 divisors, whose sum is σ = 339717888000. Its totient is φ = 17439916032.

The previous prime is 79945850807. The next prime is 79945850969. The reversal of 79945850880 is 8805854997.

It is a happy number.

79945850880 is a `hidden beast` number, since 7 + 9 + 9 + 45 + 8 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 178052896 + ... + 178053344.

Almost surely, 2^79945850880 is an apocalyptic number.

79945850880 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 79945850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169858944000).

79945850880 is an abundant number, since it is smaller than the sum of its proper divisors (259772037120).

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

79945850880 is a wasteful number, since it uses less digits than its factorization.

79945850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 79945850880 in words is "seventy-nine billion, nine hundred forty-five million, eight hundred fifty thousand, eight hundred eighty".