1077152400 has 135 divisors (see below), whose sum is σ = 3744864201. Its totient is φ = 286715520.

The previous prime is 1077152393. The next prime is 1077152429. The reversal of 1077152400 is 42517701.

The square root of 1077152400 is 32820.

It is a perfect power (a square), and thus also a powerful number.

1077152400 is a `hidden beast` number, since 107 + 7 + 152 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387774864 + 689377536 = 19692^2 + 26256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1968927 + ... + 1969473.

Almost surely, 2^1077152400 is an apocalyptic number.

1077152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1077152400 is the 32820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077152400

1077152400 is an abundant number, since it is smaller than the sum of its proper divisors (2667711801).

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

1077152400 is an equidigital number, since it uses as much as digits as its factorization.

1077152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The cubic root of 1077152400 is about 1025.0830470091.

The spelling of 1077152400 in words is "one billion, seventy-seven million, one hundred fifty-two thousand, four hundred".