71778299040 has 480 divisors, whose sum is σ = 299499742080. Its totient is φ = 15840147456.

The previous prime is 71778299017. The next prime is 71778299041. The reversal of 71778299040 is 4099287717.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71778299041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2617239 + ... + 2644521.

It is an arithmetic number, because the mean of its divisors is an integer number (623957796).

Almost surely, 2^71778299040 is an apocalyptic number.

71778299040 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 71778299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149749871040).

71778299040 is an abundant number, since it is smaller than the sum of its proper divisors (227721443040).

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

71778299040 is a wasteful number, since it uses less digits than its factorization.

71778299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27346 (or 27329 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 71778299040 in words is "seventy-one billion, seven hundred seventy-eight million, two hundred ninety-nine thousand, forty".