7161770880 has 768 divisors, whose sum is σ = 29300356800. Its totient is φ = 1592524800.

The previous prime is 7161770879. The next prime is 7161770881. The reversal of 7161770880 is 880771617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7161770879) and next prime (7161770881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7161770881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65704266 + ... + 65704374.

Almost surely, 2^7161770880 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 7161770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650178400).

7161770880 is an abundant number, since it is smaller than the sum of its proper divisors (22138585920).

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

7161770880 is a wasteful number, since it uses less digits than its factorization.

7161770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 7161770880 is about 84627.2466762331. The cubic root of 7161770880 is about 1927.5551276960. Note that the first 3 decimals are identical.

The spelling of 7161770880 in words is "seven billion, one hundred sixty-one million, seven hundred seventy thousand, eight hundred eighty".