772116433920 has 1408 divisors, whose sum is σ = 3169345536000. Its totient is φ = 176579149824.

The previous prime is 772116433919. The next prime is 772116433987. The reversal of 772116433920 is 29334611277.

772116433920 is a `hidden beast` number, since 7 + 7 + 211 + 6 + 43 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3879981981 + ... + 3879982179.

Almost surely, 2^772116433920 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 772116433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584672768000).

772116433920 is an abundant number, since it is smaller than the sum of its proper divisors (2397229102080).

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

772116433920 is a wasteful number, since it uses less digits than its factorization.

772116433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 772116433920 in words is "seven hundred seventy-two billion, one hundred sixteen million, four hundred thirty-three thousand, nine hundred twenty".