761801216 has 80 divisors (see below), whose sum is σ = 1732978368. Its totient is φ = 331161600.

The previous prime is 761801213. The next prime is 761801221. The reversal of 761801216 is 612108167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (761801213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126596 + ... + 132476.

Almost surely, 2^761801216 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 761801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866489184).

761801216 is an abundant number, since it is smaller than the sum of its proper divisors (971177152).

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

761801216 is a wasteful number, since it uses less digits than its factorization.

761801216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 761801216 is about 27600.7466565671. The cubic root of 761801216 is about 913.3009032950.

The spelling of 761801216 in words is "seven hundred sixty-one million, eight hundred one thousand, two hundred sixteen".