13778680 has 32 divisors (see below), whose sum is σ = 31515840. Its totient is φ = 5420160.

The previous prime is 13778671. The next prime is 13778717. The reversal of 13778680 is 8687731.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 5263.

It is an arithmetic number, because the mean of its divisors is an integer number (984870).

Almost surely, 2^13778680 is an apocalyptic number.

13778680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13778680 is an abundant number, since it is smaller than the sum of its proper divisors (17737160).

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

13778680 is a wasteful number, since it uses less digits than its factorization.

13778680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 13778680 is about 3711.9644394848. The cubic root of 13778680 is about 239.7374443551.

The spelling of 13778680 in words is "thirteen million, seven hundred seventy-eight thousand, six hundred eighty".