77074920 has 192 divisors, whose sum is σ = 276756480. Its totient is φ = 18482688.

The previous prime is 77074913. The next prime is 77074931. The reversal of 77074920 is 2947077.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201049 + ... + 201431.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^77074920 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 77074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

77074920 is an abundant number, since it is smaller than the sum of its proper divisors (199681560).

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

77074920 is a wasteful number, since it uses less digits than its factorization.

77074920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77074920 is about 8779.2323126797. The cubic root of 77074920 is about 425.5700217498.

The spelling of 77074920 in words is "seventy-seven million, seventy-four thousand, nine hundred twenty".