971436780 has 384 divisors, whose sum is σ = 3429216000. Its totient is φ = 227082240.

The previous prime is 971436761. The next prime is 971436787. The reversal of 971436780 is 87634179.

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 (971436787) 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 127 ways as a sum of consecutive naturals, for example, 10914976 + ... + 10915064.

It is an arithmetic number, because the mean of its divisors is an integer number (8930250).

Almost surely, 2^971436780 is an apocalyptic number.

971436780 is a gapful number since it is divisible by the number (90) 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 971436780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714608000).

971436780 is an abundant number, since it is smaller than the sum of its proper divisors (2457779220).

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

971436780 is a wasteful number, since it uses less digits than its factorization.

971436780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 971436780 is about 31167.8805824201. The cubic root of 971436780 is about 990.3868093617.

The spelling of 971436780 in words is "nine hundred seventy-one million, four hundred thirty-six thousand, seven hundred eighty".