760029480 has 640 divisors, whose sum is σ = 3211591680. Its totient is φ = 157386240.

The previous prime is 760029443. The next prime is 760029497. The reversal of 760029480 is 84920067.

760029480 is a `hidden beast` number, since 7 + 600 + 2 + 9 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16170817 + ... + 16170863.

It is an arithmetic number, because the mean of its divisors is an integer number (5018112).

Almost surely, 2^760029480 is an apocalyptic number.

760029480 is a gapful number since it is divisible by the number (70) 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 760029480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605795840).

760029480 is an abundant number, since it is smaller than the sum of its proper divisors (2451562200).

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

760029480 is a wasteful number, since it uses less digits than its factorization.

760029480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

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

The square root of 760029480 is about 27568.6321749919. The cubic root of 760029480 is about 912.5923264309.

The spelling of 760029480 in words is "seven hundred sixty million, twenty-nine thousand, four hundred eighty".