84435772400 has 120 divisors (see below), whose sum is σ = 233505471360. Its totient is φ = 28741006080.

The previous prime is 84435772387. The next prime is 84435772409. The reversal of 84435772400 is 427753448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84435772409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280727 + ... + 497673.

It is an arithmetic number, because the mean of its divisors is an integer number (1945878928).

Almost surely, 2^84435772400 is an apocalyptic number.

84435772400 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 84435772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116752735680).

84435772400 is an abundant number, since it is smaller than the sum of its proper divisors (149069698960).

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

84435772400 is a wasteful number, since it uses less digits than its factorization.

84435772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217111 (or 217100 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 44.

The spelling of 84435772400 in words is "eighty-four billion, four hundred thirty-five million, seven hundred seventy-two thousand, four hundred".