772400 has 30 divisors (see below), whose sum is σ = 1856652. Its totient is φ = 308800.

The previous prime is 772393. The next prime is 772403. The reversal of 772400 is 4277.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (772403) by changing a digit.

772400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566 + ... + 1365.

2⁷⁷²⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

772400 is an abundant number, since it is smaller than the sum of its proper divisors (1084252).

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

772400 is a wasteful number, since it uses less digits than its factorization.

772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 772400 is about 878.8629017088. The cubic root of 772400 is about 91.7516933760.

Adding to 772400 its reverse (4277), we get a palindrome (776677).

The spelling of 772400 in words is "seven hundred seventy-two thousand, four hundred", and thus it is an iban number.