792077440 has 128 divisors (see below), whose sum is σ = 2360949120. Its totient is φ = 246865920.

The previous prime is 792077411. The next prime is 792077441. The reversal of 792077440 is 44770297.

792077440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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 = 792077393 and 792077402.

It is not an unprimeable number, because it can be changed into a prime (792077441) 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, 41244 + ... + 57316.

It is an arithmetic number, because the mean of its divisors is an integer number (18444915).

Almost surely, 2^792077440 is an apocalyptic number.

792077440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180474560).

792077440 is an abundant number, since it is smaller than the sum of its proper divisors (1568871680).

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

792077440 is a wasteful number, since it uses less digits than its factorization.

792077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16110 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 792077440 is about 28143.8703805998. The cubic root of 792077440 is about 925.2431559442.

The spelling of 792077440 in words is "seven hundred ninety-two million, seventy-seven thousand, four hundred forty".