772919424 has 96 divisors (see below), whose sum is σ = 2231976240. Its totient is φ = 256734720.

The previous prime is 772919423. The next prime is 772919447. The reversal of 772919424 is 424919277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 772919424.

It is not an unprimeable number, because it can be changed into a prime (772919423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380299 + ... + 382325.

Almost surely, 2^772919424 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 772919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115988120).

772919424 is an abundant number, since it is smaller than the sum of its proper divisors (1459056816).

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

772919424 is a wasteful number, since it uses less digits than its factorization.

772919424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2363 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 772919424 is about 27801.4284525094. The cubic root of 772919424 is about 917.7225584476.

The spelling of 772919424 in words is "seven hundred seventy-two million, nine hundred nineteen thousand, four hundred twenty-four".