25477680 has 80 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 6706944.

The previous prime is 25477667. The next prime is 25477693. The reversal of 25477680 is 8677452.

It is an interprime number because it is at equal distance from previous prime (25477667) and next prime (25477693).

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

It is a super-2 number, since 2×25477680² = 1298224356364800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19281 + ... + 20559.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^25477680 is an apocalyptic number.

25477680 is a gapful number since it is divisible by the number (20) 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 25477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

25477680 is an abundant number, since it is smaller than the sum of its proper divisors (54517200).

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

25477680 is a wasteful number, since it uses less digits than its factorization.

25477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 25477680 is about 5047.5419760513. The cubic root of 25477680 is about 294.2523632584.

The spelling of 25477680 in words is "twenty-five million, four hundred seventy-seven thousand, six hundred eighty".