71879808 has 384 divisors, whose sum is σ = 273490560. Its totient is φ = 16220160.

The previous prime is 71879803. The next prime is 71879867. The reversal of 71879808 is 80897817.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71879803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4228216 + ... + 4228232.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 2^71879808 is an apocalyptic number.

71879808 is a gapful number since it is divisible by the number (78) 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 71879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

71879808 is an abundant number, since it is smaller than the sum of its proper divisors (201610752).

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

71879808 is a wasteful number, since it uses less digits than its factorization.

71879808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The square root of 71879808 is about 8478.1960345347. The cubic root of 71879808 is about 415.7851454619.

Subtracting 71879808 from its reverse (80897817), we obtain a square (9018009 = 3003²).

The spelling of 71879808 in words is "seventy-one million, eight hundred seventy-nine thousand, eight hundred eight".