83790201600 has 864 divisors, whose sum is σ = 358042083840. Its totient is φ = 18776309760.

The previous prime is 83790201587. The next prime is 83790201601. The reversal of 83790201600 is 610209738.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83790201601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64108147 + ... + 64109453.

It is an arithmetic number, because the mean of its divisors is an integer number (414400560).

Almost surely, 2^83790201600 is an apocalyptic number.

83790201600 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 83790201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179021041920).

83790201600 is an abundant number, since it is smaller than the sum of its proper divisors (274251882240).

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

83790201600 is a wasteful number, since it uses less digits than its factorization.

83790201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 83790 and 201600, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 83790201600 in words is "eighty-three billion, seven hundred ninety million, two hundred one thousand, six hundred".