1027770480 has 120 divisors (see below), whose sum is σ = 3765406320. Its totient is φ = 249154560.

The previous prime is 1027770463. The next prime is 1027770503. The reversal of 1027770480 is 840777201.

1027770480 is a `hidden beast` number, since 102 + 7 + 7 + 70 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56965 + ... + 72804.

It is an arithmetic number, because the mean of its divisors is an integer number (31378386).

Almost surely, 2^1027770480 is an apocalyptic number.

1027770480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027770480 is an abundant number, since it is smaller than the sum of its proper divisors (2737635840).

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

1027770480 is a wasteful number, since it uses less digits than its factorization.

1027770480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129799 (or 129790 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1027770480 is about 32058.8596178966. The cubic root of 1027770480 is about 1009.1724358506.

The spelling of 1027770480 in words is "one billion, twenty-seven million, seven hundred seventy thousand, four hundred eighty".