82754880 has 224 divisors, whose sum is σ = 298704000. Its totient is φ = 19243008.

The previous prime is 82754879. The next prime is 82754887. The reversal of 82754880 is 8845728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82754887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236946 + ... + 237294.

It is an arithmetic number, because the mean of its divisors is an integer number (1333500).

Almost surely, 2^82754880 is an apocalyptic number.

82754880 is a gapful number since it is divisible by the number (80) 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 82754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352000).

82754880 is an abundant number, since it is smaller than the sum of its proper divisors (215949120).

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

82754880 is a wasteful number, since it uses less digits than its factorization.

82754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 82754880 is about 9096.9709244341. The cubic root of 82754880 is about 435.7772337868. Note that the first 3 decimals are identical.

The spelling of 82754880 in words is "eighty-two million, seven hundred fifty-four thousand, eight hundred eighty".