79403846400 has 972 divisors, whose sum is σ = 309288301504. Its totient is φ = 20155392000.

The previous prime is 79403846387. The next prime is 79403846407. The reversal of 79403846400 is 464830497.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×79403846400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79403846407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1301702370 + ... + 1301702430.

Almost surely, 2^79403846400 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 79403846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154644150752).

79403846400 is an abundant number, since it is smaller than the sum of its proper divisors (229884455104).

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

79403846400 is an frugal number, since it uses more digits than its factorization.

79403846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 79403846400 in words is "seventy-nine billion, four hundred three million, eight hundred forty-six thousand, four hundred".