772461440 has 128 divisors (see below), whose sum is σ = 1950419520. Its totient is φ = 291962880.

The previous prime is 772461439. The next prime is 772461449. The reversal of 772461440 is 44164277.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 772461440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772461449) 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, 1427570 + ... + 1428110.

Almost surely, 2^772461440 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 772461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975209760).

772461440 is an abundant number, since it is smaller than the sum of its proper divisors (1177958080).

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

772461440 is a wasteful number, since it uses less digits than its factorization.

772461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 772461440 is about 27793.1905329345. The cubic root of 772461440 is about 917.5412608558.

The spelling of 772461440 in words is "seven hundred seventy-two million, four hundred sixty-one thousand, four hundred forty".