772440 has 64 divisors (see below), whose sum is σ = 2388960. Its totient is φ = 199680.

The previous prime is 772439. The next prime is 772441. The reversal of 772440 is 44277.

772440 = T₁₀₉ + T₁₁₀ + ... + T₁₈₀.

772440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (772439) and next prime (772441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 772440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772441) 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, 4842 + ... + 4998.

2⁷⁷²⁴⁴⁰ 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 772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480).

772440 is an abundant number, since it is smaller than the sum of its proper divisors (1616520).

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

772440 is a wasteful number, since it uses less digits than its factorization.

772440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 772440 is about 878.8856580921. The cubic root of 772440 is about 91.7532771860.

The spelling of 772440 in words is "seven hundred seventy-two thousand, four hundred forty", and thus it is an iban number.