795701760 has 480 divisors, whose sum is σ = 3143048832. Its totient is φ = 168099840.

The previous prime is 795701749. The next prime is 795701771. The reversal of 795701760 is 67107597.

It is an interprime number because it is at equal distance from previous prime (795701749) and next prime (795701771).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19407340 + ... + 19407380.

Almost surely, 2^795701760 is an apocalyptic number.

795701760 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 795701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571524416).

795701760 is an abundant number, since it is smaller than the sum of its proper divisors (2347347072).

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

795701760 is a wasteful number, since it uses less digits than its factorization.

795701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 795701760 is about 28208.1860458981. The cubic root of 795701760 is about 926.6522250451.

The spelling of 795701760 in words is "seven hundred ninety-five million, seven hundred one thousand, seven hundred sixty".