761411280 has 160 divisors (see below), whose sum is σ = 2755252224. Its totient is φ = 170316288.

The previous prime is 761411239. The next prime is 761411291. The reversal of 761411280 is 82114167.

It is a super-2 number, since 2×761411280² = 1159494274622476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 74139 + ... + 83781.

Almost surely, 2^761411280 is an apocalyptic number.

761411280 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 761411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377626112).

761411280 is an abundant number, since it is smaller than the sum of its proper divisors (1993840944).

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

761411280 is a wasteful number, since it uses less digits than its factorization.

761411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 761411280 is about 27593.6818855331. The cubic root of 761411280 is about 913.1450491283.

It can be divided in two parts, 76141 and 1280, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 761411280 in words is "seven hundred sixty-one million, four hundred eleven thousand, two hundred eighty".