1077620368 has 80 divisors (see below), whose sum is σ = 2334582720. Its totient is φ = 477734400.

The previous prime is 1077620353. The next prime is 1077620393. The reversal of 1077620368 is 8630267701.

It is a super-2 number, since 2×1077620368² = 2322531315056910848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077620368.

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, 1629958 + ... + 1630618.

It is an arithmetic number, because the mean of its divisors is an integer number (29182284).

Almost surely, 2^1077620368 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 1077620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167291360).

1077620368 is an abundant number, since it is smaller than the sum of its proper divisors (1256962352).

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

1077620368 is a wasteful number, since it uses less digits than its factorization.

1077620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 1077620368 is about 32827.1285372327. The cubic root of 1077620368 is about 1025.2314743535.

The spelling of 1077620368 in words is "one billion, seventy-seven million, six hundred twenty thousand, three hundred sixty-eight".