761288472 has 48 divisors (see below), whose sum is σ = 2356370640. Its totient is φ = 217510848.

The previous prime is 761288471. The next prime is 761288491. The reversal of 761288472 is 274882167.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761288471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754743 + ... + 755750.

It is an arithmetic number, because the mean of its divisors is an integer number (49091055).

Almost surely, 2^761288472 is an apocalyptic number.

761288472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

761288472 is an abundant number, since it is smaller than the sum of its proper divisors (1595082168).

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

761288472 is a wasteful number, since it uses less digits than its factorization.

761288472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510512 (or 1510505 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 761288472 is about 27591.4565037803. The cubic root of 761288472 is about 913.0959527771.

The spelling of 761288472 in words is "seven hundred sixty-one million, two hundred eighty-eight thousand, four hundred seventy-two".