83977213320 has 1536 divisors, whose sum is σ = 390103257600. Its totient is φ = 15989944320.

The previous prime is 83977213277. The next prime is 83977213337. The reversal of 83977213320 is 2331277938.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 612972292 + ... + 612972428.

It is an arithmetic number, because the mean of its divisors is an integer number (253973475).

Almost surely, 2^83977213320 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 83977213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195051628800).

83977213320 is an abundant number, since it is smaller than the sum of its proper divisors (306126044280).

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

83977213320 is a wasteful number, since it uses less digits than its factorization.

83977213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 83977213320 in words is "eighty-three billion, nine hundred seventy-seven million, two hundred thirteen thousand, three hundred twenty".