47764080 has 360 divisors, whose sum is σ = 205007712. Its totient is φ = 10077696.

The previous prime is 47764069. The next prime is 47764103. The reversal of 47764080 is 8046774.

It is a happy number.

47764080 is a `hidden beast` number, since 4 + 7 + 7 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 585 × 567 × 144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3674154 + ... + 3674166.

Almost surely, 2^47764080 is an apocalyptic number.

47764080 is a gapful number since it is divisible by the number (40) 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 47764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102503856).

47764080 is an abundant number, since it is smaller than the sum of its proper divisors (157243632).

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

47764080 is an equidigital number, since it uses as much as digits as its factorization.

47764080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47764080 is about 6911.1561984953. The cubic root of 47764080 is about 362.8277305667.

The spelling of 47764080 in words is "forty-seven million, seven hundred sixty-four thousand, eighty".