85379280 has 80 divisors (see below), whose sum is σ = 302492544. Its totient is φ = 19514880.

The previous prime is 85379279. The next prime is 85379291. The reversal of 85379280 is 8297358.

85379280 = 1133² + 1134² + ... + 1195².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23731 + ... + 27090.

Almost surely, 2^85379280 is an apocalyptic number.

85379280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85379280 is an abundant number, since it is smaller than the sum of its proper divisors (217113264).

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

85379280 is a wasteful number, since it uses less digits than its factorization.

85379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50844 (or 50838 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 85379280 is about 9240.0909086437. The cubic root of 85379280 is about 440.3359692951.

The spelling of 85379280 in words is "eighty-five million, three hundred seventy-nine thousand, two hundred eighty".