1197780480 has 640 divisors, whose sum is σ = 4839690240. Its totient is φ = 278691840.

The previous prime is 1197780461. The next prime is 1197780481. The reversal of 1197780480 is 840877911.

1197780480 is a `hidden beast` number, since 1 + 1 + 97 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (1197780481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27855339 + ... + 27855381.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^1197780480 is an apocalyptic number.

1197780480 is a gapful number since it is divisible by the number (10) 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 1197780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419845120).

1197780480 is an abundant number, since it is smaller than the sum of its proper divisors (3641909760).

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

1197780480 is a wasteful number, since it uses less digits than its factorization.

1197780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1197780480 is about 34608.9653124736. The cubic root of 1197780480 is about 1062.0030004065.

The spelling of 1197780480 in words is "one billion, one hundred ninety-seven million, seven hundred eighty thousand, four hundred eighty".