76970520 has 384 divisors, whose sum is σ = 306432000. Its totient is φ = 17107200.

The previous prime is 76970519. The next prime is 76970521. The reversal of 76970520 is 2507967.

76970520 is a `hidden beast` number, since 7 + 69 + 70 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (76970519) and next prime (76970521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76970521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482905 + ... + 2482935.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 2^76970520 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 76970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

76970520 is an abundant number, since it is smaller than the sum of its proper divisors (229461480).

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

76970520 is a wasteful number, since it uses less digits than its factorization.

76970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 76970520 is about 8773.2844476855. The cubic root of 76970520 is about 425.3777863435.

It can be divided in two parts, 769 and 70520, that added together give a square (71289 = 267²).

The spelling of 76970520 in words is "seventy-six million, nine hundred seventy thousand, five hundred twenty".