73786278440 has 128 divisors (see below), whose sum is σ = 202060604160. Its totient is φ = 23672131584.

The previous prime is 73786278427. The next prime is 73786278443. The reversal of 73786278440 is 4487268737.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (73786278443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 778679 + ... + 868281.

It is an arithmetic number, because the mean of its divisors is an integer number (1578598470).

Almost surely, 2^73786278440 is an apocalyptic number.

73786278440 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 73786278440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101030302080).

73786278440 is an abundant number, since it is smaller than the sum of its proper divisors (128274325720).

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

73786278440 is a wasteful number, since it uses less digits than its factorization.

73786278440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89811 (or 89807 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 73786278440 in words is "seventy-three billion, seven hundred eighty-six million, two hundred seventy-eight thousand, four hundred forty".