761482800 has 360 divisors, whose sum is σ = 2908970064. Its totient is φ = 183306240.

The previous prime is 761482793. The next prime is 761482807. The reversal of 761482800 is 8284167.

It is an interprime number because it is at equal distance from previous prime (761482793) and next prime (761482807).

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 not an unprimeable number, because it can be changed into a prime (761482807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2480247 + ... + 2480553.

Almost surely, 2^761482800 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 761482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454485032).

761482800 is an abundant number, since it is smaller than the sum of its proper divisors (2147487264).

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

761482800 is a wasteful number, since it uses less digits than its factorization.

761482800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 761482800 is about 27594.9778039411. The cubic root of 761482800 is about 913.1736390599.

The spelling of 761482800 in words is "seven hundred sixty-one million, four hundred eighty-two thousand, eight hundred".