7161782400 has 192 divisors, whose sum is σ = 26210450400. Its totient is φ = 1909785600.

The previous prime is 7161782393. The next prime is 7161782401. The reversal of 7161782400 is 42871617.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7161782400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7161782401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44955 + ... + 127845.

Almost surely, 2^7161782400 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 7161782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105225200).

7161782400 is an abundant number, since it is smaller than the sum of its proper divisors (19048668000).

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

7161782400 is a wasteful number, since it uses less digits than its factorization.

7161782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82924 (or 82901 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7161782400 is about 84627.3147393913. The cubic root of 7161782400 is about 1927.5561612124.

The spelling of 7161782400 in words is "seven billion, one hundred sixty-one million, seven hundred eighty-two thousand, four hundred".