772934440 has 64 divisors (see below), whose sum is σ = 1880179200. Its totient is φ = 284974848.

The previous prime is 772934431. The next prime is 772934467. The reversal of 772934440 is 44439277.

It is a super-2 number, since 2×772934440² = 1194855297076227200, which contains 22 as substring.

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 = 772934393 and 772934402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14377 + ... + 41863.

It is an arithmetic number, because the mean of its divisors is an integer number (29377800).

Almost surely, 2^772934440 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 772934440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940089600).

772934440 is an abundant number, since it is smaller than the sum of its proper divisors (1107244760).

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

772934440 is a wasteful number, since it uses less digits than its factorization.

772934440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554 (or 27550 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 772934440 is about 27801.6985092638. The cubic root of 772934440 is about 917.7285014701.

The spelling of 772934440 in words is "seven hundred seventy-two million, nine hundred thirty-four thousand, four hundred forty".