84378330400 has 576 divisors, whose sum is σ = 277812218880. Its totient is φ = 24256512000.

The previous prime is 84378330391. The next prime is 84378330409. The reversal of 84378330400 is 403387348.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84378330391) and next prime (84378330409).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84378330409) 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, 35889225 + ... + 35891575.

It is an arithmetic number, because the mean of its divisors is an integer number (482312880).

Almost surely, 2^84378330400 is an apocalyptic number.

84378330400 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 84378330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138906109440).

84378330400 is an abundant number, since it is smaller than the sum of its proper divisors (193433888480).

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

84378330400 is a wasteful number, since it uses less digits than its factorization.

84378330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 84378330400 in words is "eighty-four billion, three hundred seventy-eight million, three hundred thirty thousand, four hundred".