83377889280 has 672 divisors, whose sum is σ = 335314137600. Its totient is φ = 18770558976.

The previous prime is 83377889269. The next prime is 83377889281. The reversal of 83377889280 is 8298877338.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (83377889281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203857716 + ... + 203858124.

Almost surely, 2^83377889280 is an apocalyptic number.

83377889280 is a gapful number since it is divisible by the number (80) 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 83377889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167657068800).

83377889280 is an abundant number, since it is smaller than the sum of its proper divisors (251936248320).

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

83377889280 is a wasteful number, since it uses less digits than its factorization.

83377889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 83377889280 in words is "eighty-three billion, three hundred seventy-seven million, eight hundred eighty-nine thousand, two hundred eighty".