772187440 has 80 divisors (see below), whose sum is σ = 1878629760. Its totient is φ = 294871040.

The previous prime is 772187389. The next prime is 772187443. The reversal of 772187440 is 44781277.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 772187393 and 772187402.

It is not an unprimeable number, because it can be changed into a prime (772187443) 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, 151656 + ... + 156664.

It is an arithmetic number, because the mean of its divisors is an integer number (23482872).

Almost surely, 2^772187440 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 772187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939314880).

772187440 is an abundant number, since it is smaller than the sum of its proper divisors (1106442320).

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

772187440 is a wasteful number, since it uses less digits than its factorization.

772187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The square root of 772187440 is about 27788.2608307897. The cubic root of 772187440 is about 917.4327609257.

The spelling of 772187440 in words is "seven hundred seventy-two million, one hundred eighty-seven thousand, four hundred forty".