83712400 has 120 divisors (see below), whose sum is σ = 213787904. Its totient is φ = 31449600.

The previous prime is 83712397. The next prime is 83712401. The reversal of 83712400 is 421738.

83712400 = T₃₄₅ + T₃₄₆ + ... + T₈₁₅.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (83712401) 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, 533122 + ... + 533278.

Almost surely, 2^83712400 is an apocalyptic number.

83712400 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 83712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106893952).

83712400 is an abundant number, since it is smaller than the sum of its proper divisors (130075504).

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

83712400 is a wasteful number, since it uses less digits than its factorization.

83712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 83712400 is about 9149.4480707855. The cubic root of 83712400 is about 437.4515211589.

The spelling of 83712400 in words is "eighty-three million, seven hundred twelve thousand, four hundred".