761676480 has 224 divisors, whose sum is σ = 2706624000. Its totient is φ = 201636864.

The previous prime is 761676467. The next prime is 761676491. The reversal of 761676480 is 84676167.

761676480 is a `hidden beast` number, since 7 + 6 + 167 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1719139 + ... + 1719581.

Almost surely, 2^761676480 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 761676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353312000).

761676480 is an abundant number, since it is smaller than the sum of its proper divisors (1944947520).

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

761676480 is a wasteful number, since it uses less digits than its factorization.

761676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 761676480 is about 27598.4869150466. The cubic root of 761676480 is about 913.2510531427.

The spelling of 761676480 in words is "seven hundred sixty-one million, six hundred seventy-six thousand, four hundred eighty".