1078977120 has 288 divisors, whose sum is σ = 3771919872. Its totient is φ = 259024896.

The previous prime is 1078977047. The next prime is 1078977121. The reversal of 1078977120 is 217798701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078977121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812499 + ... + 3812781.

It is an arithmetic number, because the mean of its divisors is an integer number (13096944).

Almost surely, 2^1078977120 is an apocalyptic number.

1078977120 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 1078977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885959936).

1078977120 is an abundant number, since it is smaller than the sum of its proper divisors (2692942752).

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

1078977120 is a wasteful number, since it uses less digits than its factorization.

1078977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 42.

The square root of 1078977120 is about 32847.7871400799. The cubic root of 1078977120 is about 1025.6615582496.

The spelling of 1078977120 in words is "one billion, seventy-eight million, nine hundred seventy-seven thousand, one hundred twenty".