83778006 has 128 divisors (see below), whose sum is σ = 207277056. Its totient is φ = 22302720.

The previous prime is 83777987. The next prime is 83778007. The reversal of 83778006 is 60087738.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83778007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250385 + ... + 1250451.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352).

Almost surely, 2^83778006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83778006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

83778006 is an abundant number, since it is smaller than the sum of its proper divisors (123499050).

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

83778006 is a wasteful number, since it uses less digits than its factorization.

83778006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 83778006 is about 9153.0326122002. The cubic root of 83778006 is about 437.5657692689.

The spelling of 83778006 in words is "eighty-three million, seven hundred seventy-eight thousand, six".