761208100 has 81 divisors (see below), whose sum is σ = 1726218291. Its totient is φ = 291350400.

The previous prime is 761208089. The next prime is 761208113. The reversal of 761208100 is 1802167.

The square root of 761208100 is 27590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 158407396 + 602800704 = 12586^2 + 24552^2 .

It is a super-2 number, since 2×761208100² = 1158875543011220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8552856 + ... + 8552944.

Almost surely, 2^761208100 is an apocalyptic number.

761208100 is the 27590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761208100

761208100 is an abundant number, since it is smaller than the sum of its proper divisors (965010191).

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

761208100 is a wasteful number, since it uses less digits than its factorization.

761208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The cubic root of 761208100 is about 913.0638186898.

Multiplying 761208100 by its sum of digits (25), we get a square (19030202500 = 137950²).

761208100 divided by its sum of digits (25) gives a square (30448324 = 5518²).

The spelling of 761208100 in words is "seven hundred sixty-one million, two hundred eight thousand, one hundred".