78400854 has 96 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 21384000.

The previous prime is 78400849. The next prime is 78400867. The reversal of 78400854 is 45800487.

It is a super-2 number, since 2×78400854² = 12293387815858632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312229 + ... + 312479.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^78400854 is an apocalyptic number.

78400854 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78400854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208).

78400854 is an abundant number, since it is smaller than the sum of its proper divisors (124763562).

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

78400854 is a wasteful number, since it uses less digits than its factorization.

78400854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78400854 is about 8854.4256730745. The cubic root of 78400854 is about 427.9965462498.

The spelling of 78400854 in words is "seventy-eight million, four hundred thousand, eight hundred fifty-four".