772093440 has 480 divisors, whose sum is σ = 2941526016. Its totient is φ = 186531840.

The previous prime is 772093397. The next prime is 772093507. The reversal of 772093440 is 44390277.

772093440 is a `hidden beast` number, since 7 + 7 + 209 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×772093440² = 1192256560182067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 772093395 and 772093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16427497 + ... + 16427543.

Almost surely, 2^772093440 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 772093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470763008).

772093440 is an abundant number, since it is smaller than the sum of its proper divisors (2169432576).

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

772093440 is a wasteful number, since it uses less digits than its factorization.

772093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 772093440 is about 27786.5694176161. The cubic root of 772093440 is about 917.3955324089.

The spelling of 772093440 in words is "seven hundred seventy-two million, ninety-three thousand, four hundred forty".