760400801 has 16 divisors (see below), whose sum is σ = 802545408. Its totient is φ = 719510400.

The previous prime is 760400783. The next prime is 760400813. The reversal of 760400801 is 108004067.

760400801 = 3169² + 3170² + ... + 3242².

760400801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 760400801 - 2⁶ = 760400737 is a prime.

It is a super-2 number, since 2×760400801² = 1156418756322883202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (760480801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653246 + ... + 654408.

It is an arithmetic number, because the mean of its divisors is an integer number (50159088).

Almost surely, 2^760400801 is an apocalyptic number.

It is an amenable number.

760400801 is a deficient number, since it is larger than the sum of its proper divisors (42144607).

760400801 is a wasteful number, since it uses less digits than its factorization.

760400801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 760400801 is about 27575.3658361952. The cubic root of 760400801 is about 912.7409213358.

Adding to 760400801 its reverse (108004067), we get a palindrome (868404868).

The spelling of 760400801 in words is "seven hundred sixty million, four hundred thousand, eight hundred one".