92760480 has 144 divisors (see below), whose sum is σ = 325287144. Its totient is φ = 24053760.

The previous prime is 92760431. The next prime is 92760497. The reversal of 92760480 is 8406729.

It can be written as a sum of positive squares in 4 ways, for example, as 62157456 + 30603024 = 7884^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52410 + ... + 54150.

Almost surely, 2^92760480 is an apocalyptic number.

92760480 is a gapful number since it is divisible by the number (90) 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 92760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162643572).

92760480 is an abundant number, since it is smaller than the sum of its proper divisors (232526664).

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

92760480 is a wasteful number, since it uses less digits than its factorization.

92760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 92760480 is about 9631.2242212504. The cubic root of 92760480 is about 452.6762009276.

The spelling of 92760480 in words is "ninety-two million, seven hundred sixty thousand, four hundred eighty".