761072816 has 160 divisors (see below), whose sum is σ = 1866547200. Its totient is φ = 293310720.

The previous prime is 761072707. The next prime is 761072827. The reversal of 761072816 is 618270167.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 761072816.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5475275 + ... + 5475413.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2^761072816 is an apocalyptic number.

761072816 is a gapful number since it is divisible by the number (76) 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 761072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933273600).

761072816 is an abundant number, since it is smaller than the sum of its proper divisors (1105474384).

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

761072816 is a wasteful number, since it uses less digits than its factorization.

761072816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 761072816 is about 27587.5482056670. The cubic root of 761072816 is about 913.0097247462.

The spelling of 761072816 in words is "seven hundred sixty-one million, seventy-two thousand, eight hundred sixteen".