762480 has 80 divisors (see below), whose sum is σ = 2633760. Its totient is φ = 202752.

The previous prime is 762479. The next prime is 762491. The reversal of 762480 is 84267.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (32922).

2⁷⁶²⁴⁸⁰ 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 762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316880).

762480 is an abundant number, since it is smaller than the sum of its proper divisors (1871280).

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

762480 is a wasteful number, since it uses less digits than its factorization.

762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 762480 is about 873.2010077869. The cubic root of 762480 is about 91.3572080777.

It can be divided in two parts, 76 and 2480, that added together give a triangular number (2556 = T₇₁).

The spelling of 762480 in words is "seven hundred sixty-two thousand, four hundred eighty".