79850400 has 288 divisors, whose sum is σ = 306230400. Its totient is φ = 18063360.

The previous prime is 79850387. The next prime is 79850447. The reversal of 79850400 is 405897.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823152 + ... + 823248.

It is an arithmetic number, because the mean of its divisors is an integer number (1063300).

Almost surely, 2^79850400 is an apocalyptic number.

79850400 is a gapful number since it is divisible by the number (70) 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 79850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

79850400 is an abundant number, since it is smaller than the sum of its proper divisors (226380000).

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

79850400 is a wasteful number, since it uses less digits than its factorization.

79850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 79850400 is about 8935.9051024505. The cubic root of 79850400 is about 430.6181842221.

The spelling of 79850400 in words is "seventy-nine million, eight hundred fifty thousand, four hundred".