780986880 has 160 divisors (see below), whose sum is σ = 2774376000. Its totient is φ = 208244736.

The previous prime is 780986863. The next prime is 780986903. The reversal of 780986880 is 88689087.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 63471 + ... + 74769.

It is an arithmetic number, because the mean of its divisors is an integer number (17339850).

Almost surely, 2^780986880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387188000).

780986880 is an abundant number, since it is smaller than the sum of its proper divisors (1993389120).

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

780986880 is a wasteful number, since it uses less digits than its factorization.

780986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11331 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 780986880 is about 27946.1424887228. The cubic root of 780986880 is about 920.9044665309.

The spelling of 780986880 in words is "seven hundred eighty million, nine hundred eighty-six thousand, eight hundred eighty".