73878840 has 192 divisors, whose sum is σ = 289036800. Its totient is φ = 15987456.

The previous prime is 73878839. The next prime is 73878853. The reversal of 73878840 is 4887837.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 47109 + ... + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (1505400).

Almost surely, 2^73878840 is an apocalyptic number.

73878840 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 73878840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144518400).

73878840 is an abundant number, since it is smaller than the sum of its proper divisors (215157960).

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

73878840 is a wasteful number, since it uses less digits than its factorization.

73878840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 73878840 is about 8595.2801001480. The cubic root of 73878840 is about 419.6043893842.

The spelling of 73878840 in words is "seventy-three million, eight hundred seventy-eight thousand, eight hundred forty".