1077847680 has 512 divisors, whose sum is σ = 4386816000. Its totient is φ = 218972160.

The previous prime is 1077847633. The next prime is 1077847681. The reversal of 1077847680 is 867487701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1077847681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5416221 + ... + 5416419.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^1077847680 is an apocalyptic number.

1077847680 is a gapful number since it is divisible by the number (10) 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 1077847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408000).

1077847680 is an abundant number, since it is smaller than the sum of its proper divisors (3308968320).

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

1077847680 is a wasteful number, since it uses less digits than its factorization.

1077847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 1077847680 is about 32830.5906130243. The cubic root of 1077847680 is about 1025.3035563345.

The spelling of 1077847680 in words is "one billion, seventy-seven million, eight hundred forty-seven thousand, six hundred eighty".